NCERT Solutions for Class 10 Maths<\/a> Chapter 6 Triangles Ex 6.4 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\nNCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.4<\/h2>\n <\/p>\n
Question 1. \nLet \u2206ABC ~ \u2206DEF and their areas be, respectively, 64 cm\u00b2 and 121 cm\u00b2. If EF = 15.4 cm, find BC. \nSolution: \nSince, \u2206ABC ~ \u2206DEF \nThe ratio of the areas of two similar triangles is equal to the ratio of the squares of the corresponding sides. \n <\/p>\n
Question 2. \nDiagonals of a trapezium ABCD with AB || DC intersect each other at the point O. If AB = 2 CD, find the ratio of the areas of triangles AOB and COD. \nSolution: \nABCD is a trapezium with AB || DC and AB = 2 CD \n <\/p>\n
Question 3. \nIn the given figure, ABC and DBC are two triangles on the same base BC. If AD intersects BC at O, show that \n \nSolution: \n <\/p>\n
<\/p>\n
Question 4. \nIf the areas of two similar triangles are equal, prove that they are congruent. \nSolution: \nGiven : Areas of two similar triangles are equal. \nTo Prove : Triangles are congruent. Ratio in the areas of two similar triangles is equal to the ratio of their respective sides. \nProof: Let \u2206ABC and \u2206PQR be two triangles. \n \nHence, by SSS congruence theorem \n\u2206 ABC \u2245 \u2206PQR (Proved)<\/p>\n
Question 5. \nD, E and F are respectively the mid-points of sides AB, BC and CA of \u2206ABC. Find the ratio of the areas of \u2206DEF and \u2206ABC. \nSolution: \nABC is a triangle and D, E, F are the mid\u00acpoints of the sides AB, BC and CA respectively \n <\/p>\n
<\/p>\n
Question 6. \nProve that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians. \nSolution: \nGiven \u2206 ABC ~ \u2206DEF, and AP and DQ are their medians. \n <\/p>\n
<\/p>\n
Question 7. \nProve that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals. \nSolution: \nGiven A square ABCD. Equilateral ABCE and AACF have been described on side BC diagonal AC respectively. \n <\/p>\n
Question 8. \nABC and BDE are two equilateral triangles such that D is the mid-point of BC. Ratio of the areas of triangles ABC and BDE is _________. \n(a) 2 : 1 \n(b) 1 : 2 \n(c) 4 : 1 \n(d) 1 : 4 \nSolution: \n(c) 4 : 1<\/p>\n
<\/p>\n
Question 9. \nSides of two similar triangles are in the ratio 4:9. Areas of these triangles are in the ratio __________. \n(a) 2 : 3 \n(b) 4 : 9 \n(c) 81 : 16 \n(d) 16 : 81 \nSolution: \n(d) 16 : 81<\/p>\n","protected":false},"excerpt":{"rendered":"
These NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.4 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.4 Question 1. Let \u2206ABC ~ \u2206DEF and their areas be, respectively, 64 cm\u00b2 and 121 cm\u00b2. If EF = 15.4 cm, …<\/p>\n
NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.4<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[2],"tags":[],"yoast_head":"\nNCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.4 - MCQ Questions<\/title>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n