SOLUTION: a right triangle is 16cm longer than the shortest side and 2cm longer than the remaining side. Find the dimensions of the triangle
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Question 293932: a right triangle is 16cm longer than the shortest side and 2cm longer than the remaining side. Find the dimensions of the triangle Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! THe lengths of the 3 sides are:
x, 16+x & 2+x
x^2+(2+x)^2=(16+x)^2
x^2+4+4x+x^2=256+32x+x^2
2x^2-x^2+4x-32x+4-256=0
x^2-28x-252=0
x=(28+-sqrt[-28^2-4*1*-252])/2*1
x=(28+-sqrt[784+1,008])/2
x=(28+-sqrt1,792)/2
x=(28+-42.332)/2
x=(28+42.332)/2
x=70.332/2
x=35.166 ans.
x=(28-42.332)/2
x=-14.332/2
x=-7.166 ans.
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