Posted by **Ashley** on Sunday, February 17, 2008 at 1:14pm.

The area of a right triangle is 44m squared. Find the lengths of its legs if one of the legs is 3m longer than the other.

- math -
**drwls**, Sunday, February 17, 2008 at 1:18pm
(1/2)x(x+3) = 44

x is the shorter of the two legs

x^2 + 3x -88 = 0

That factors easily. (Think 11 x 8)

Take the positive root.

- math -
**Guido**, Sunday, February 17, 2008 at 1:19pm
Formula needed is:

A = 1/2(base)(height)

44 = 1/2(x + 3)(x)

One leg is 3m longer than the other can be expressed as (x + 3).

The other leg is simply the letter (x).

In other words, (x + 3) is one of the legs and the letter (x) is the other leg.

This is your equation:

44 = 1/2(x + 3)(x)

Can you solve for x?

If not, write back and I will help you.

## Answer this Question

## Related Questions

- Math - 1) The hypotenuse of an isosceles right triangle is 8 cm longer than ...
- math - The hypotenuse of a right triangle measures 10m. One leg of the triangle ...
- math - a right triangle has a hypotenuse that is 59 miles long. One side is 1.05...
- Algebra - The flower garden has the shape of a right triangle. 5ft of a ...
- Math - If the hypotenuse of a right triangle is 13 and one of its legs is 5, ...
- math right triangle - the hypotenuse of a right triangle is 1 inch longer than ...
- Algebra 1 - A right triangle has 1 leg that is 2" longer than the other leg. the...
- geometry - the area of a right triangle is 12 in ^2. the ratio of the lengths of...
- geometry - the area of a right triangle is 12 in ^2. the ratio of the lengths of...
- 10 - Legs ( sides other than the hypotenuse) of a right triangle are of lengths ...

More Related Questions