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?

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.

⇒  --------- (1)

Given that

⇒

Put all these values in equation (1) we get

⇒  

⇒

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

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