SOLUTION: The hypotenuse of a right triangle is 25 cm long. one leg is 17 cm longer than the other. Find the length of the shorter leg. ___cm Thank you

Algebra.Com
Question 41225: The hypotenuse of a right triangle is 25 cm long. one leg is 17 cm longer than the other. Find the length of the shorter leg.
___cm
Thank you

Found 2 solutions by fractalier, checkley71:
Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
Just posted this solution...
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
(17+x)~2+X~2=25~2 OR 289+34X+X~2+X~2=625 OR 2X~2+34X-336 OR X~2+17x-168=0 or
(x+24)(x-7)=0 or x=-24 & x=7 answer is 7 cm
proof 7*7+24*24=625 or 49+576=625 or 625=625

RELATED QUESTIONS

The hypotenuse of a right triangle is 25 cm long. one leg is 17 cm longer than the other. (answered by fractalier)
The hypotenuse of a right triangle is 25 cm long and the length of one leg is 10 cm... (answered by rfer)
One leg of a right triangle is 5 cm shorter than the other leg. The length of the... (answered by unlockmath)
One leg of a right triangle is 5 cm shorter than the other leg. The length of the... (answered by mananth)
The hypotenuse of a right triangle is 2 cm longer than one leg, The other leg has length... (answered by ikleyn)
One leg of a right triangle is 6 cm shorter than the other leg. The length of the... (answered by palanisamy)
Please help me with my problem. One leg of a right triangle is 6 cm shorter than the... (answered by stanbon)
The hypotenuse of a right triangle is 30 cm. The length of one leg is 6 cm longer than... (answered by jorel555)
The hypotenuse of a right triangle is 37 cm. long one leg is 23 cm. longer than the... (answered by harpazo)