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.

Answer 1

Yse the Pythagorean theorem to show that the hypotenuse is

5x = 75
x = 15.
Take it from there

Answer 2

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.