The altitude to the base of an isoceler triangle is 8. if the perimeter of the triangle is 32.find the area of the triangle

The sum of all 3 sides is 32.

The altitude is 8.

http://img.pokemon-universe.com/images/63266267445745644619.png

You know that:

a + a + b = 32

Then, from Pythagoras' theorem,

8^2 + (\frac{b}{2}\)^2 = a^2

Find a and b, then use:

Area = \frac12 ah

where h is the altitude, which is 8