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 leg of the triangle?
:
Let x = the multiplier
:
Find the hypotenuse
h = {{{sqrt((5x)^2 + (12x)^2)}}}
:
h = {{{sqrt(25x^2 + 144x^2)}}}
:
h = {{{sqrt(169x^2)}}}
:
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