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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