SOLUTION: please help me answer this problem In a right triangle, the ratio of the legs is 3:4. If the area of the triangle is 726 square cm, what is the length of the hypotenuse?

Algebra ->  Pythagorean-theorem -> SOLUTION: please help me answer this problem In a right triangle, the ratio of the legs is 3:4. If the area of the triangle is 726 square cm, what is the length of the hypotenuse?      Log On


   

Question 839629: please help me answer this problem
In a right triangle, the ratio of the legs is 3:4. If the area of the triangle is 726 square cm, what is the length of the hypotenuse?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For a triangle,
A=%281%2F2%29bh
726=%281%2F2%29%283x%29%284x%29
1452=144x%5E2
x%5E2=10.083333
From the Pythagorean theorem,
%283x%29%5E2%2B%284x%29%5E2=H%5E2
9x%5E2%2B16x%5E2=H%5E2
H%5E2=25x%5E2=25%2810.08333%29
H%5E2=252.08333
H=15.877