SOLUTION: suppose one leg and the hypotenuse of a right triangle are consecutive integers. find the length of the leg and hypotenuse if the other leg is of length 7cm.

Algebra ->  Pythagorean-theorem -> SOLUTION: suppose one leg and the hypotenuse of a right triangle are consecutive integers. find the length of the leg and hypotenuse if the other leg is of length 7cm.      Log On


   



Question 856831: suppose one leg and the hypotenuse of a right triangle are consecutive integers. find the length of the leg and hypotenuse if the other leg is of length 7cm.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
leg 1 -------7
leg 2--------x
hypotenuse--------(x+1)
(x+1)^2= x^2+7^2
x^2+2x+1 =x^2+49
2x=48
x=24
7,24,25 the sides of the right triangle