Posted by **Kym** on Friday, December 17, 2010 at 9:48am.

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.

- geometry -
**drwls**, Friday, December 17, 2010 at 11:26am
Yse the Pythagorean theorem to show that the hypotenuse is

5x = 75

x = 15.

Take it from there

- geometry -
**musu**, Friday, December 17, 2010 at 3:08pm
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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