SOLUTION: the longer leg of a right triangle is 3m longer than the shorter leg. the hypotenuse is 6m longer than the shorter leg. find the side lengths of the triangle.

Question 1059880: the longer leg of a right triangle is 3m longer than the shorter leg. the hypotenuse is 6m longer than the shorter leg. find the side lengths of the triangle.
Found 3 solutions by ikleyn, josgarithmetic, MathTherapy:
Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.
(9,12,15) right-angled triangle similar to (3,4,5) right angled triangle.

Also

= .

Solve this quadratic equation to find x, and get the answer x = 9.

Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
x the shorter leg;
longer leg is x+3;
h for hypotenuse, h=6+x;

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

the longer leg of a right triangle is 3m longer than the shorter leg. the hypotenuse is 6m longer than the shorter leg. find the side lengths of the triangle.

Let the shorter leg be S
Then longer leg = S + 3, and the hypotenuse = S + 6
The equation you need to solve is:
Solve this for S, the shorter leg
Add 3 to S to get length of longer leg
Add 6 to S to get length of hypotenuse, OR
If you know about Pythagorean triples, you'd recognize the results as one.
If you don't know this by now, IGNORE the person who has a different equation.
That equation is WRONG, just like the majority of his other CONFUSING and INCORRECT responses!
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