Asked by patel

one side of a right triangle is 12.5 ft the perimeter is 38.7 ft. what is the length of the hypotenuse and the other unknown side?
Answered by Steve
Let a,b, be the legs, and c the hypotenuse

a+b+c = 38.7
a + b + √(12.5<sup>2</sup>+b<sup>2</sup>) = 38.7

√(12.5<sup>2</sup>+b<sup>2</sup>) = 26.2 - b

12.5<sup>2</sup>+b<sup>2</sup> = b<sup>2</sup> - 52.4b + 686.44

52.4b = 530.19

b = 10.1
a = 12.5
c = 16.1
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