Posted by **Julie** on Monday, February 21, 2011 at 1:02pm.

A room is in the shape of a right triangle. The hypotenuse is 8 meters longer than the short leg and the long leg is 4 meters longer than the short leg. Find the length of each side. (ok, now how can it be done if I change each side to cm and km, then ft and yards?)

- Math -
**MathMate**, Monday, February 21, 2011 at 1:42pm
The numerical answer would be the same if the information were given in cm, m, or feet.

Let x be the short side.

long side = x+4

hypotenuse = x+8

Apply Pythagoras theorem:

(x+4)²+x² = (x+8)²

Solve for x (it is a quadratic equation).

You will find two integer solutions, one of which is negative and should be rejected.

- Math -
**Henry**, Monday, February 21, 2011 at 9:04pm
Julie,check your 2-20-11,4:09 post.

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