{"id":1924,"date":"2022-11-04T08:28:50","date_gmt":"2022-11-04T08:28:50","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=1924"},"modified":"2022-11-04T08:28:50","modified_gmt":"2022-11-04T08:28:50","slug":"ncert-solutions-class-7-maths-chapter-6-the-triangle-and-its-properties-ex-6-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-6-the-triangle-and-its-properties-ex-6-1\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.1"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 7 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 6 (The Triangle and its Properties)<\/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 7 Mathematics <strong>Chapter &#8211; 6 The Triangle and its Properties <\/strong>Exercise 6.1 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Chapter : 6 The Triangles and its Properties<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-6-the-triangle-and-its-properties-ex-6-2\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 6.2<\/span><\/a><\/span><\/span><\/li>\n<li><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-6-the-triangle-and-its-properties-ex-6-3\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 6.3<\/span><\/a><\/span><\/span><\/li>\n<li><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-6-the-triangle-and-its-properties-ex-6-4\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 6.4<\/span><\/a><\/span><\/span><\/li>\n<li><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-6-the-triangle-and-its-properties-ex-6-5\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 6.5<\/span><\/a><\/span><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 6.1\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. In \u0394 PQR, D is the mid-point of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\overline{QR}}\" alt=\"\\mathbf{\\overline{QR}}\" align=\"absmiddle\" \/>.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1935\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-6.1-Q1.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"235\" height=\"141\" \/><br \/>\n<\/strong><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\overline{PM}}\" alt=\"\\mathbf{\\overline{PM}}\" align=\"absmiddle\" \/>\u00a0is ____.<br \/>\n(ii) PD is ____.<br \/>\n(iii) Is QM = MR?<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i)<\/strong> <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\overline{PM}\" alt=\"\\overline{PM}\" align=\"absmiddle\" \/> is <span style=\"text-decoration: underline;\"><strong>Altitude<\/strong><\/span>.<br \/>\n<strong>(ii)<\/strong> PD is <span style=\"text-decoration: underline;\"><strong>Median<\/strong><\/span>.<br \/>\n<strong>(iii) <\/strong>Is QM = MR?<br \/>\nNo, QM \u2260 MR because, D is the mid-point of QR.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. Draw rough sketches for the following:<br \/>\n<\/strong><strong>(a) In \u0394ABC, BE is a median.<br \/>\n(b) In \u2206PQR, PQ and PR are altitudes of the triangle.<br \/>\n(c) In \u2206XYZ, YL is an altitude in the exterior of the triangle.<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">(a) In \u0394ABC, BE is a median.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1936\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-6.1-Q2a.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"224\" height=\"144\" \/><br \/>\nA median connects a vertex of a triangle to the mid-point of the opposite side.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">(b) In \u2206PQR, PQ and PR are altitudes of the triangle.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1937\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-6.1-Q2b.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"215\" height=\"137\" \/><br \/>\nAn altitude has one end point at a vertex of the triangle and other on the line containing the opposite side.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">(c) In \u2206XYZ, YL is an altitude in the exterior of the triangle.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1938\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-6.1-Q2c.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"123\" height=\"146\" \/><br \/>\nIn the figure we may observe that for \u0394XYZ, YL is an altitude drawn exteriorly to side XZ which is extended up to point L.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1939\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-6.1-Q3.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"145\" height=\"165\" \/><br \/>\nDraw a Line segment PS \u22a5 BC.<br \/>\nIt is an altitude for this triangle.<br \/>\nHere we observe that length of QS and SR is also same.<br \/>\nSo PS is also a median of this triangle.<\/span><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 7 Mathematics\u00a0 Chapter &#8211; 6 (The Triangle and its Properties) The NCERT Solutions in English Language for Class 7 Mathematics Chapter &#8211; 6 The Triangle and its Properties Exercise 6.1 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter : 6 The Triangles and its [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[219],"tags":[296,297,283,5],"class_list":["post-1924","post","type-post","status-publish","format-standard","hentry","category-class-7-maths","tag-ncert-class-7-maths-chapter-6-the-triangle-and-its-properties-in-english","tag-ncert-solutions-class-7-maths-chapter-6-in-english","tag-ncert-solutions-class-7-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.4) - 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