# Isosceles triangle 9

Given an isosceles triangle ABC where AB= AC. The perimeter is 64cm and altitude is 24cm. Find the area of the isosceles triangle

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**Steve**

No, your solution starts with h=25cm, but the question says that h=24cm.

So, looking at one-half of the isosceles triangle, x

So, looking at one-half of the isosceles triangle, x

^{2}+ 24^{2}= (32-x)^{2}solves to x=7cm, which gives the area of the isosceles triangle as 7x24 = 168cm^{2}#### Following knowledge from mathematics are needed to solve this word math problem:

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