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?
Answers
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
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
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.