SOLUTION: the perimeter of a right triangle is 90 feet. the ratio of the legs is 5:12. what is the length of the longest lef of the triangle?

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Question 308514: the perimeter of a right triangle is 90 feet. the ratio of the legs is 5:12. what is the length of the longest lef of the triangle?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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the perimeter of a right triangle is 90 feet.
the ratio of the legs is 5:12. what is the length of the longest leg of the triangle?
:
Let x = the multiplier
:
Find the hypotenuse
h = sqrt%28%285x%29%5E2+%2B+%2812x%29%5E2%29
:
h = sqrt%2825x%5E2+%2B+144x%5E2%29
:
h = sqrt%28169x%5E2%29
:
h = 13x
:
The perimeter
5x + 12x + 13x = 90
30x = 90
x = 90/30
x = 3 is the multiplier
:
3(5) = 15 is leg 1
3(12) = 36 is leg 2
3(13( = 39 is hypotenuse, the longest leg