SOLUTION: The perimeter of a right triangle is 36 units. If one leg is three units shorter than another, and the hypotenuse is 6 units more than the shorter leg, find its area in sq meters.

Algebra ->  Surface-area -> SOLUTION: The perimeter of a right triangle is 36 units. If one leg is three units shorter than another, and the hypotenuse is 6 units more than the shorter leg, find its area in sq meters.       Log On


   



Question 1086892: The perimeter of a right triangle is 36 units. If one leg is three units shorter than another, and the hypotenuse is 6 units more than the shorter leg, find its area in sq meters.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB%2BH=36
.
.
A=B-3
.
.
B=A%2B3
.
.
H=6%2BA
.
.
Substituting,
A%2B%28A%2B3%29%2B%286%2BA%29=36
3A%2B9=36
3A=27
A=9
B=9%2B3=12
H=6%2B9=15