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

Answer:

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

Step-by-step 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.

⇒ $\frac{l_{1} }{b_{1} } = \frac{l_{2} }{b_{2} }$  --------- (1)

Given that

⇒ $l_{1} = 17 cm , \ b_{1} = 10 cm , \ b_{2} = 8 cm$

Put all these values in equation (1) we get

⇒  $\frac{17}{10} = \frac{l_{2} }{8}$

⇒ $l_{2} = 13.6 cm$

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