NCERT Solutions for Class 10 Maths Chapter 6 Triangles — Exercise 6.4

NCERT class 10 maths chapter 6 Triangles

Question 1:Let D ABC ~ D DEF and their areas be, respectively, 64 cm2 and 121 cm2. If EF = 15.4 cm, find BC.

Exercise 6.4 maths class 10 Chapter 6 Triangles

Question 2:Diagonals 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.

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Question 3:In Fig. 6.44, ABC and DBC are two triangles on the same base BC. If AD intersects BC at O, show that ar (ABC) AO ar (DBC) DO = ×

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Question 4:If the areas of two similar triangles are equal, prove that they are congruent.

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Question 5:D, E and F are respectively the mid-points of sides AB, BC and CA of D ABC. Find the ratio of the areas of D DEF and D ABC.

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Question 6:Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.

Question 7:Prove 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. Tick the correct answer and justify :

Exercise 6.4 class 10 Math ncert solutions Chapter 6

Question 8:ABC 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 (A) 2 : 1 (B) 1 : 2 (C) 4 : 1 (D) 1 : 4

Question 9:Sides of two similar triangles are in the ratio 4 : 9. Areas of these triangles are in the ratio (A) 2 : 3 (B) 4 : 9 (C) 81 : 16 (D) 16 : 81