SOLUTION: The hypotenuse of a right triangle is 10 inches longer than the shortest side and 5 inches longer than the ramaining side. Find the dimensions of the triangle.
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Question 441172: The hypotenuse of a right triangle is 10 inches longer than the shortest side and 5 inches longer than the ramaining side. Find the dimensions of the triangle.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
x2+(x+5)2=(x+10)2
x2+x2+10x+25=x2+20x+100
2x2+10x+25=x2+20x+100
x2-10x-75=0
(x-15)(x+5)=0
x=15 or -5
Throwing out the negative answer, we get the sides of the triangle to be 15,20, and 25 inches, respectively..
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