SOLUTION: the perimeter of a right triangle is 60 cm & its hypotenuse is 26 cm. find the other two sides & the area of the triangle.

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Question 316473: the perimeter of a right triangle is 60 cm & its hypotenuse is 26 cm. find the other two sides & the area of the triangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB%2B26=60
1.A%2BB=34
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.
.
A%5E2%2BB%5E2=26%5E2
2.A%5E2%2BB%5E2=676
From eq. 1,
A=34-B
A%5E2=1156-68B%2BB%5E2
Substitute into eq. 2,
%281156-68B%2BB%5E2%29%2BB%5E2=676
2B%5E2-68B%2B480=0
B%5E2-34B%2B240=0
%28B-24%29%28B-10%29=0
Two solutions:
B-24=0
B=24
Then
A%2B24=34
A=10
.
.
.
B-10=0
B=10
Then
A%2B10=34
A=24
.
.
.
Area=%281%2F2%29bh=%281%2F2%29%2824%29%2810%29=120