SOLUTION: Find the base of an isosceles triangle if the perimeter is equal to 25 and the height is equal to 8.

Algebra ->  Triangles -> SOLUTION: Find the base of an isosceles triangle if the perimeter is equal to 25 and the height is equal to 8.       Log On


   

Question 750963: Find the base of an isosceles triangle if the perimeter is equal to 25 and the height is equal to 8.
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
h=8-height
b-base
a-the isosceles sides
perimeter is 25 means:
b%2B2a=25
and
%28b%2F2%29%5E2%2Bh%5E2=a%5E2
or
%28b%5E2%29%2F4%2B64=a%5E2
so that

%28b%5E2%29%2F4%2B64=%28%2825-b%29%2F2%29%5E2


and thus after some algebra we get
b=369/50



:)