SOLUTION: The hypotenuse of a right triangle is twice the length of one of the legs. The length of the other leg is √12 feet. Find the lengths of the leg and hypotenuse.

Algebra ->  Triangles -> SOLUTION: The hypotenuse of a right triangle is twice the length of one of the legs. The length of the other leg is √12 feet. Find the lengths of the leg and hypotenuse.      Log On


   

Question 1057613: The hypotenuse of a right triangle is twice the length of one of the legs. The length of the other leg is √12 feet. Find the lengths of the leg and hypotenuse.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
H=2A
B=sqrt%2812%29
A%5E2%2BB%5E2=H%5E2
Substituting,
A%5E2%2B12=%282A%29%5E2
A%5E2%2B12=4A%5E2
3A%5E2=12
A%5E2=4
A=2ft
So,
H=2%282%29
H=4ft