{"id":182,"date":"2022-08-09T15:40:33","date_gmt":"2022-08-09T15:40:33","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=182"},"modified":"2024-02-21T06:07:48","modified_gmt":"2024-02-21T06:07:48","slug":"ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-6","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-6\/","title":{"rendered":"NCERT Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">NCERT Solutions Class 6 Maths<\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Chapter &#8211; 5 (Understanding Elementary Shapes)<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 6 Mathematics <strong>Chapter &#8211; 5 Understanding Elementary Shapes <\/strong>Exercise 5.6 has been provided here to help the students in solving the questions from this exercise.<\/span><\/p>\n<h4 id=\"chapter-5\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span id=\"Chapter_5_Understanding_Elementary_Shapes\" style=\"color: #000000;\">Chapter 5: Understanding Elementary Shapes<\/span><\/strong><\/span><\/h4>\n<ul>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.1<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.2<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.3<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-4\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.4<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-5\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.5<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-7\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.7<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-8\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.8<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-9\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.9<\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Exercise &#8211; 5.6<\/span><\/strong><\/span><\/h2>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>1. Name the types of following triangles:<br \/>\n<\/strong>(a) Triangle with lengths of sides 7 cm, 8 cm and 9 cm.<br \/>\n(b) \u2206ABC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.<br \/>\n(c) \u2206PQR such that PQ = QR = PR = 5 cm.<br \/>\n(d) \u2206DEF with \u2220D = 90\u00b0<br \/>\n(e) \u2206XYZ with \u2220Y = 90\u00b0 and XY = YZ.<br \/>\n(f) \u2206LMN with \u2220L = 30\u00b0, \u2220M = 70\u00b0 and \u2220N = 80\u00b0.<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(a) Scalene triangle<br \/>\n(b) Scalene triangle<br \/>\n(c) Equilateral triangle<br \/>\n(d) Right angled triangle<br \/>\n(e) Right angled isosceles triangle<br \/>\n(f) Acute angled triangle<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>2. Match the following:<br \/>\n<\/strong><\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 144px;\">\n<tbody>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Measures of Triangle\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 50%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Type of Triangle<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(i) 3 sides of equal length\u00a0 \u00a0<\/span><\/td>\n<td style=\"width: 50%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(a) Scalene<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(ii) 2 sides of equal length\u00a0 \u00a0 \u00a0<\/span><\/td>\n<td style=\"width: 50%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(b) Isosceles right angled<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(iii) All sides are of different length\u00a0 <\/span><\/td>\n<td style=\"width: 50%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(c) Obtuse angled<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(iv) 3 acute angles<\/span><\/td>\n<td style=\"width: 50%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(d) Right angled<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(v) 1 right angle\u00a0<\/span><\/td>\n<td style=\"width: 50%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(e) Equilateral<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(vi) 1 obtuse angle<br \/>\n<\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(f) Acute angled<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(vii) 1 right angle with two sides of equal length\u00a0<\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(g) Isosceles<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<table style=\"border-collapse: collapse; width: 81.503%;\">\n<tbody>\n<tr style=\"height: 24px;\">\n<td style=\"width: 56.994%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Measures of Triangle\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 43.006%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Type of Triangle<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 56.994%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(i) 3 sides of equal length\u00a0 \u00a0<\/span><\/td>\n<td style=\"width: 43.006%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(e) Equilateral<br \/>\n<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 56.994%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(ii) 2 sides of equal length\u00a0 \u00a0 \u00a0<\/span><\/td>\n<td style=\"width: 43.006%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(g) Isosceles<br \/>\n<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 56.994%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(iii) All sides are of different length\u00a0 <\/span><\/td>\n<td style=\"width: 43.006%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(a) Scalene<br \/>\n<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 56.994%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(iv) 3 acute angles<\/span><\/td>\n<td style=\"width: 43.006%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(f) Acute angled<br \/>\n<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 56.994%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(v) 1 right angle\u00a0<\/span><\/td>\n<td style=\"width: 43.006%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(d) Right angled<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 56.994%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(vi) 1 obtuse angle<br \/>\n<\/span><\/td>\n<td style=\"width: 43.006%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(c) Obtuse angled<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 56.994%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(vii) 1 right angle with two sides of equal length\u00a0<\/span><\/td>\n<td style=\"width: 43.006%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(b) Isosceles right angled<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>3. Name each of the following triangles in two different ways: (you may judge the nature of the angle by observation)<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-254 size-full aligncenter\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-5.6Q3.png\" alt=\"NCERT Class 6 Math Solution\" width=\"313\" height=\"251\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-5.6Q3.png 313w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-5.6Q3-300x241.png 300w\" sizes=\"auto, (max-width: 313px) 100vw, 313px\" \/><\/strong><strong>Solutions:<\/strong><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(a) Acute angled and isosceles triangle.<br \/>\n(b) Right angled and scalene triangle.<br \/>\n(c) Obtuse angled and isosceles triangle.<br \/>\n(d) Right angled and isosceles triangle.<br \/>\n(e) Equilateral and acute angled triangle.<br \/>\n(f) Obtuse angled and scalene triangle.<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>4. Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with<br \/>\n<\/strong>(a) 3 matchsticks?<br \/>\n(b) 4 matchsticks?<br \/>\n(c) 5 matchsticks?<br \/>\n(d) 6 matchsticks?<br \/>\n<strong>(Remember you have to use all the available matchsticks in each case)<br \/>\n<\/strong><strong>Name the type of triangle in each case. If you cannot make a triangle, think of reasons for it<br \/>\n<\/strong><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-255 aligncenter\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-5.6Q4.png\" alt=\"NCERT Class 6 Math Solution\" width=\"321\" height=\"129\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-5.6Q4.png 321w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-5.6Q4-300x121.png 300w\" sizes=\"auto, (max-width: 321px) 100vw, 321px\" \/><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(a)\u00a0By using three match sticks we may make a triangle as shown below<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-256 aligncenter\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-5.6Q4A.png\" alt=\"NCERT Class 6 Math Solution\" width=\"100\" height=\"99\" \/>The above triangle is an equilateral triangle<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(b) By using 4 match sticks we cannot make a triangle, since we know that sum of the lengths of any two sides of a triangle is always greater than the third side.<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(c) By using 5 match sticks we may make a triangle as shown below<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-257 aligncenter\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-5.6Q4C.png\" alt=\"NCERT Class 6 Math Solution\" width=\"87\" height=\"94\" \/>The above triangle is an isosceles triangle<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(d) By using 6 match sticks we may make a triangle as shown below<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-258 aligncenter\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-5.6Q4D.png\" alt=\"NCERT Class 6 Math Solution\" width=\"111\" height=\"101\" \/>The above triangle is an equilateral triangle.<\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%; background-color: #f2e079; text-align: center;\"><span style=\"color: #000000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong>NCERT Class 6<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 6 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Maths<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-sanskrit\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\">NCERT Solutions Class 6 Sanskrit<\/span><\/strong><\/span><\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 6 Maths Chapter &#8211; 5 (Understanding Elementary Shapes) The NCERT Solutions in English Language for Class 6 Mathematics Chapter &#8211; 5 Understanding Elementary Shapes Exercise 5.6 has been provided here to help the students in solving the questions from this exercise. Chapter 5: Understanding Elementary Shapes NCERT Solution Class 6 Maths Exercise [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[12,13,4,5],"class_list":["post-182","post","type-post","status-publish","format-standard","hentry","category-class-6-maths","tag-chapter-5-understanding-elementary-shapes-in-english","tag-ncert-solutions-class-6-maths-chapter-5-in-english","tag-ncert-solutions-class-6-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 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