SOLUTION: Find the length of the hypotenuse if the height is 6 meters and the area is 36 meters squared?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Find the length of the hypotenuse if the height is 6 meters and the area is 36 meters squared?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 951500: Find the length of the hypotenuse if the height is 6 meters and the area is 36 meters squared?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length of the hypotenuse if the height is 6 meters and the area is 36 meters squared?
:
Find the base of the right triangle when you know the area and the height
1%2F2*b*6 = 36
multiply both sides by 2
6b = 72
b = 72/6
b = 12 meters
:
the we know the two legs of the triangle are 12 and 6, find the hypotenuse
h = sqrt%286%5E2+%2B+12%5E2%29
h = sqrt%2836+%2B+144%29
h = sqrt%28180%29
h = 13.4164 meters is the hypotenuse