Question

if the ratio of areas of two similar triangles is 25:36 then the ratio of their corresponding sides is: options: a. 25 : 36 b. 6 : 5 c. 5 : 6 d. 36 :25 answer:

Answer 1

Formula:

$\bigg( \dfrac{Length_1}{Length_2} \bigg)^2 = \dfrac{Area_1}{Area_2}$

Given that the ratio of the area is 25 : 36:

$\bigg( \dfrac{Length_1}{Length_2} \bigg)^2 = \dfrac{25}{36}$

$\dfrac{Length_1}{Length_2}  =\sqrt{\dfrac{25}{36}}$

$\dfrac{Length_1}{Length_2}  ={\dfrac{5}{6}$

Answer: (c) 5 : 6

Answer 2

The given statement is the ratio of areas of two similar triangles is 25:36.

In this condition, we need to find the ratio of their corresponding sides.

The answer to this question is option C which is 5: 6.

It is because the sides of the triangle are same, so we can get the values of sides as 5:6.