SOLUTION: The hypotenuse of a right triangle is 25 m long. The length of one leg is 10m less than twice the other. Find the length of each leg.

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Question 163544This question is from textbook
: The hypotenuse of a right triangle is 25 m long. The length of one leg is 10m less than twice the other. Find the length of each leg. This question is from textbook

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
25^2=(2x-10)^2+x^2
625=4x^2-40x+100+x^2
5x^2-40x+100-625=0
5x^2-40x-525=0
5(x^2-8x-105=0
5(x-15)(x+7)=0
x-15=0
x=15 fot the short leg
2*15-10=30-10=20 for the long leg
Proof:
25^2=20^2+15^2
625=400+225
625=625