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

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.
RELATED QUESTIONS
One leg of a right triangle is 4m less than the hypotenuse. The other leg is 2m less... (answered by edjones)

A lot has the shape of a right triangle with one leg 2m longer than the other. The... (answered by tvandenberg)

The hypotenuse of a right triangle is 25 m long. The length of one leg is 10m less than... (answered by checkley77)

One leg of a right triangle is 4 m less than the hypotenuse. The other leg is 2 m less... (answered by Earlsdon)

Please solve. One leg of a right triangle is four less than twice the other. The... (answered by nerdybill)

one leg of of a right triangle is 2 meters longer than the other leg. The hypotenuse is 2 (answered by dkppathak)

one leg of a right triangle measures three inches less than the other leg. find the... (answered by nerdybill)

One leg of a right triangle has length 20 in. The other leg is 10 in. less than the... (answered by nyc_function,solver91311)

In a right triangle one leg is 9 cm less than the hypotenuse. The other leg is 2 cm... (answered by Fombitz)