SOLUTION: One leg of a right triangle is 4m less than the hypotenuse. The other leg is 2m less than the hypotenuse. Find the length of the hypotenuse
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Question 1053728: One leg of a right triangle is 4m less than the hypotenuse. The other leg is 2m less than the hypotenuse. Find the length of the hypotenuse Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! hypotenuse is x
one leg ix x-4
the other is x-2
The square of each leg added equals the square of the hypotenuse
(x-4)^2+(x-2)^2=x^2=x^2-8x+16+x^2-4x+4
x^2=2x^2-12x+20
0=x^2-12x+20
(x-10)(x+2)=0
x=10, and -2, whic
h is ignored
The legs are 6 and 8 meters, and
10 meters is the hypotenuse length.
