# 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.

1. drwls

Yse the Pythagorean theorem to show that the hypotenuse is

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

2. musu

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.

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