SOLUTION: a right triangle has a leg length 9. The hypotenuse is twice the length of the other leg. Determine the area of the triangle.
Algebra ->
Triangles
-> SOLUTION: a right triangle has a leg length 9. The hypotenuse is twice the length of the other leg. Determine the area of the triangle.
Log On
Question 850601: a right triangle has a leg length 9. The hypotenuse is twice the length of the other leg. Determine the area of the triangle. Answer by unlockmath(1688) (Show Source):
You can put this solution on YOUR website! Hello,
Let's first find the length of the other leg by using Pythagorean Formula:
9^2 + x^2 = (2x)^2
81 = 3x^2
Divide by 3 and sq root:
x = 5.2 (rounded off)
Now that we know the length of the leg we use the triangle formula:
1/2 (5.2)(9)= 23.4 sq units.
Make sense?
RJ
www.math-unlock.com
