Question
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?
Answers
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
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