Question

Two isosceles triangles have congruent base angles. The length of a leg and base of one triangle are 17 cm and 10 cm respectively. The length of the base of the other triangle is 8 cm. What is the length of the leg of the second triangle?

Answer 1

This is the length of the leg of the second triangle = 13.6 cm

Explanation:

Since two isosceles triangles have congruent base angles. So Triangle - 1 is similar to triangle - 2.

So ratio of length to base of first triangle is equal to the second triangle.

⇒
`(l_(1) )/(b_(1) ) = (l_(2) )/(b_(2) )` --------- (1)

Given that

⇒
`l_(1) = 17 cm , \ b_(1) = 10 cm , \ b_(2) = 8 cm`

Put all these values in equation (1) we get

⇒
`(17)/(10) = (l_(2) )/(8)`

⇒
`l_(2) = 13.6 cm`

This is the length of the leg of the second triangle.