# Math Help - Can anyone solve this Isosceles triangle problem

1. ## Can anyone solve this Isosceles triangle problem

A landscape designer uses 8-foot timbers to form a pattern of isosceles triangles along the wall of a building. If the area of each triangle is 24 square feet, and the two equal sides are 8 feet each, what is the base?

So this is the problem:
Side A = 8 feet
Side B = 8 feet
Side C = X
Area = 24 square feet

2. Call the length of side C $2x,$ (= your X), and the heigth of the triangle $y.$
Then, using the known area of the triangle, $xy=24,$ and using the Pythagoras theorem $x^2+y^2=64.$
Substitute for $y$ in the second equation and then solve this as a quadratic in $x^2.$
(I calculate $x=3.2915$, or $x=7.2915,$. But you should check these results.)