SOLUTION: If the shorter leg of a right triangle is x+1, the longer leg is x+2, and the Hypotenuse is x+3, what are the lengths of the sides of the triangle?

Algebra ->  Triangles -> SOLUTION: If the shorter leg of a right triangle is x+1, the longer leg is x+2, and the Hypotenuse is x+3, what are the lengths of the sides of the triangle?      Log On


   



Question 962654: If the shorter leg of a right triangle is x+1, the longer leg is x+2, and the Hypotenuse is x+3, what are the lengths of the sides of the triangle?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if the shorter leg a of a right triangle is x%2B1,
the longer leg bis x%2B2, and the hypotenuse c is x%2B3,then
c%5E2=a%5E2%2Bb%5E2
%28x%2B3%29%5E2=%28x%2B1%29%5E2%2B%28x%2B2%29%5E2
x%5E2%2B6x%2B9=x%5E2%2B2x%2B1%2Bx%5E2%2B4x%2B4
x%5E2%2B6x%2B9=2x%5E2%2B6x%2B5
0=2x%5E2%2B6x%2B5-x%5E2-6x-9
0=x%5E2-4
x%5E2=4
x=2....we need only positive solution
now find the lengths of the sides of the triangle:
x%2B1=>2%2B1=>3
x%2B2=>2%2B2=>4
x%2B3=>2%2B3=>5