SOLUTION: the hypotenuse of right triangle is 1m less than twice the shortest side,if the side is 1m more than the shortest side. find the side of a triangle?

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Question 841326: the hypotenuse of right triangle is 1m less than twice the shortest side,if the side is 1m more than the shortest side. find the side of a triangle?
Answer by hamsanash1981@gmail.com(151) About Me  (Show Source):
You can put this solution on YOUR website!
Let the shortest side be x ,
then Hypotenuse = 2x-1 and other side = x+1
By Pythagoras theorem,
%282x-1%29%5E2+=+%28x%2B1%29%5E2+%2B+x%5E2
4x%5E2+-8x+%2B1+=+x%5E2%2B1%2B2x+%2Bx%5E2
2x%5E2+-6x+=+0
2x(x-3)=0
x-3=0
x=3
therefore the side of the triange are x,x+1, 2x-1 => 3,4,5