Monday, May 20, 2013

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

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 



:)

No comments: