SOLUTION: On a right triangle one leg is two more than twice the other. The hypotenuse is one more than the longer leg. Find the sides.

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Question 1050989: On a right triangle one leg is two more than twice the other. The hypotenuse is one more than the longer leg. Find the sides.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website!
Which leg is which?
x, a leg
y, other leg
c, hypotenuse

This system will probably give what you want.

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Substitute for y and c in the Pythagorean Theroem formula equation....

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!
On a right triangle one leg is two more than twice the other. The hypotenuse is one more than the longer leg. Find the sides.

Let shorter leg be S
Then longer leg = 2S + 2
Hypotenuse = 2S + 2 + 1, or 2S + 3
We then get:
Solve for S, the shorter leg
Add 2 to twice the value of S, and you get the longer leg
Add 3 to twice the value of S to get length of hypotenuse
That's all! It's that simple....nothing complex.