SOLUTION: a sign in the shape of a right triangle has one leg that is 51 inches longer than the other leg. what is the length of the shorter leg if the perimeter is 168 inches

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Question 954953: a sign in the shape of a right triangle has one leg that is 51 inches longer than the other leg. what is the length of the shorter leg if the perimeter is 168 inches
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

A=B-51
.
.
A%2BB%2BC=168
C=168-A-B
C=168-%28B-51%29-B
C=219-2B
.
.
A%5E2%2BB%5E2=C%5E2
%28B-51%29%5E2%2BB%5E2=%28219-2B%29%5E2
B%5E2-102B%2B2601%2BB%5E2=4B%5E2-876B%2B47961
2B%5E2-102B%2B2601=4B%5E2-876B%2B47961
2B%5E2-774B%2B45360=0
B%5E2-387B%2B22680=0
%28B-315%29%28B-72%29=0
Only the solution that is less than 168 makes sense.
B-72=0
B=72
Then,
A=72-51
highlight%28A=21%29
and
C=219-2%2872%29
C=219-144
C=75