NCERT Solutions For Class 10 Maths Chapter 6 Triangles Ex 6.4

Ex 6.4 Class 10 Maths Question 1.

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

Solution for Ex 6.4 Class 10 Maths Question 1

Solution for Ex 6.4 Class 10 Maths Question 1

Ex 6.4 Class 10 Maths 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.

Solution for Ex 6.4 Class 10 Maths Question 2

Solution for Ex 6.4 Class 10 Maths Question 2

Ex 6.4 Class 10 Maths Question 3.

In the given figure, ABC and DBC are two triangles on the same base BC. If AD intersects BC at O, show that:

Solution for Ex 6.4 Class 10 Maths Question 3

Solution for Ex 6.4 Class 10 Maths Question 3

Ex 6.4 Class 10 Maths Question 4.

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

Solution for Ex 6.4 Class 10 Maths Question 4

Solution for Ex 6.4 Class 10 Maths Question 4

Ex 6.4 Class 10 Maths Question 5.

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

Solution for Ex 6.4 Class 10 Maths Question 5

Solution for Ex 6.4 Class 10 Maths Question 5

Ex 6.4 Class 10 Maths 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.

Solution for Ex 6.4 Class 10 Maths Question 6

Solution for Ex 6.4 Class 10 Maths Question 6

Ex 6.4 Class 10 Maths 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.

Solution for Ex 6.4 Class 10 Maths Question 7

Solution for Ex 6.4 Class 10 Maths Question 7

Ex 6.4 Class 10 Maths Question 8.

Tick the correct answer and justify
(i) 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

Solution for Ex 6.4 Class 10 Maths Question 8 (i)

Solution for Ex 6.4 Class 10 Maths Question 8.1

(ii) 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

Solution for Ex 6.4 Class 10 Maths Question 8 (ii)

Solution for Ex 6.4 Class 10 Maths Question 8.2

 

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