geometry
posted by Kym .
a right triangle has legs of length 3x and 4x and hypotenuse of length 75. What are the lengths of the legs of the triangle.

Yse the Pythagorean theorem to show that the hypotenuse is
5x = 75
x = 15.
Take it from there 
Pythagorean theorem
(leg)^2 + (leg)^2= (hypoyenuse)^2
(3x)^2 + (4x)^2 =(75)^2
9x^2 +16x^2 = 5625
25x^2=5625 ]:25
x^2=225
x=15
so, first leg is 3*15=45
second leg is 4*15=60.