SOLUTION: Right triangle with the longer leg 6 cm more than the shorter leg and the hypotenuse 12 cm more than the shorter leg. How long are the sides of the triangle?

Question 1048019: Right triangle with the longer leg 6 cm more than the shorter leg and the hypotenuse 12 cm more than the shorter leg. How long are the sides of the triangle?
Answer by mathslover(157) (Show Source): You can put this solution on YOUR website!
Let the shorter leg be x
Longer leg = x+6
Hypotenuse=x+12
Using the Pythogras theorem on right triangles
Sum of squares of the sides = square of the hypotenuse

=>
=> Grouping the like terms on one side
=>
=>
=>
This gives us x=18 and x=-6
Ignoring -6 as length cannot be negative
SIdes are 18, 24 and 30 ( x, x+6 and x+12)
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