Posted by **patel** on Thursday, October 20, 2011 at 6:02pm.

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?

- maths -
**Steve**, Friday, October 21, 2011 at 10:29am
Let a,b, be the legs, and c the hypotenuse

a+b+c = 38.7

a + b + √(12.5^{2}+b^{2}) = 38.7

√(12.5^{2}+b^{2}) = 26.2 - b

12.5^{2}+b^{2} = b^{2} - 52.4b + 686.44

52.4b = 530.19

b = 10.1

a = 12.5

c = 16.1

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