SOLUTION: the length of the hypotenuse of a right triangle is twice the length of the shorter leg plus 3 m the longer leg is 7 m longer than the shorter leg find the lengths of the sides

Question 778975: the length of the hypotenuse of a right triangle is twice the length of the shorter leg plus 3 m the longer leg is 7 m longer than the shorter leg find the lengths of the sides
Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
Let x the length of the shorter leg
(2x+3)^2 = (x+7)^2+x^2
4x^2+12x+9 = 2x^2+14x +49
2x^2-2x-40 =0
x^2-x-20 = 0
x = 5 or x = -4 (x > 0)
Then x = 5
Answer: 5, 12 and 13
If you have more questions i can see them if you contact me at: mthman@gmail.com
Thanks

RELATED QUESTIONS
The longer leg of a right triangle is 1M longer then the shorter leg. The hypotenuse is 1 (answered by robertb)

The shorter leg of a right triangle is 9 m shorter than the longer leg . The hypotenuse... (answered by ikleyn)

In a right triangle, the longer leg is 7 inches more than the shorter leg, and the... (answered by josgarithmetic)

a lot is in the shape of a triangle. The hypotenuse is 3 m longer than the longer leg.... (answered by RAY100)

If the hypotenuse of a right triangle is 1 m more than the longer leg, and the shorter... (answered by mananth,fcabanski)

A lot is in the shape of a right triangle. The shorter leg measures 120 m. The hypotenuse (answered by stanbon)

A lot is in the shape of a right triangle. The shorter leg measures 180 m. The hypotenuse (answered by ilana)

A lot is in the shape of a right triangle. The shorter leg measures 180 m. The hypotenuse (answered by Love math)

10) A lot is in the shape of a right triangle. The shorter leg measures 120 m. The... (answered by mananth)