# Two isosceles triangles have the same base length. The legs of one of the triangles are twice as long as the legs of the other. How do you find the lengths of the sides of the triangles if their perimeters are 23 cm and 41 cm?

##### 1 Answer

Every step shown so a bit long. Skip over the bits you know.

Base is 5 for both

The smaller legs are 9 each

The longer legs are 18 each

#### Explanation:

Sometimes a quick sketch helps in spotting what to do

For triangle 1

For triangle 2

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For equation(1) subtract

For equation(2) subtract

Set

Ad

Subtract

Divide both sides by

But

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Substitute for

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Check using

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