SOLUTION: Find the perimeter of an equilateral triangle with an altitude of length 33

Algebra ->  Triangles -> SOLUTION: Find the perimeter of an equilateral triangle with an altitude of length 33      Log On


   

Question 588249: Find the perimeter of an equilateral triangle with an altitude of length 33
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Find the perimeter of an equilateral triangle with an altitude of length 33
.
Let x = length of one side
then applying Pythagorean Theorem
%28x%2F2%29%5E2+%2B+33%5E2+=+x%5E2
x%5E2%2F4+%2B+1089+=+x%5E2
x%5E2+%2B+4356+=+4x%5E2
4356+=+3x%5E2
1452+=+x%5E2
22sqrt%283%29+=+x
.
perimeter is
3%2A22sqrt%283%29
66sqrt%283%29 exact answer
114.315 approximate answer