SOLUTION: the hypotenuse of a right triangle is 22m long the length of one leg is 10 m less than the other find the length of the legs
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Question 291142: the hypotenuse of a right triangle is 22m long the length of one leg is 10 m less than the other find the length of the legs Answer by unlockmath(1688) (Show Source):
You can put this solution on YOUR website! Hello,
First let's have "x" be the length of one leg and the other will be x-10. Now we can plug in the values into this equation:
a^2+b^2=c^2
x^2+(x-10)^2=22^2 Rewritten as:
x^2+x^2-20x+100=484 Subtract 484 from both sides to get:
2x^2-20x-384=0 We'll need to use the Quadratic Formula so
plug the values into this:
I'll let you do the rest from here.
RJ
www.math-unlock.com
