# math

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.

1. 👍 0
2. 👎 0
3. 👁 286
1. (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.

1. 👍 0
2. 👎 0
posted by drwls
2. 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.

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

Can you solve for x?

1. 👍 0
2. 👎 0
posted by Guido

## Similar Questions

1. ### Math

The area of a right triangle is 12 square inches, and the sum of the lengths of the two legs, a and b, is 16 inches. Write a system that could be used to find the lengths of the legs of the right triangle.

asked by Sylvester on December 2, 2016
2. ### Math

If all of the following triangles have the same perimeter, which has the greater area? a) a right triangle with legs of equal lengths b) an equilateral triangle, c) An obtuse triangle d) a triangle whose sides are all different

asked by Anonymous on August 8, 2012
3. ### geometry

the area of a right triangle is 12 in ^2. the ratio of the lengths of its legs is 2/3. find the hypotenuse.

asked by Anonymous on April 1, 2011
4. ### geometry

the area of a right triangle is 12 in ^2. the ratio of the lengths of its legs is 2/3. find the hypotenuse.

asked by Anonymous on April 1, 2011
5. ### Algebra

The area of an isosceles right triangle is 18cm square. Find the lengths of the legs.

asked by Ana on May 8, 2017
6. ### Math

The legs of a right triangle are 6 cm and 18 cm. The hypotenuse of a similar triangle is 24 cm. What is the area, in cm squared, of the larger triangle?

asked by Pravin on November 24, 2016
7. ### Calculus

the legs of a right triangle have lengths a and b satisfying a + b =10. which values of a and b maximize the area of the triangle?

asked by Anonymous on January 27, 2014
8. ### Math

1) The hypotenuse of an isosceles right triangle is 8 cm longer than either of its legs. Note that an isosceles right triangle is a right triangle whose legs are the same length. Find the exact length of its legs and its

asked by Aaron on November 18, 2013
9. ### math

How do i find the area of a triangle? For example: A squared + b squared= c squared 8.5 squared + 6.4 squared= c squared 72.25 + 40.96= c squared 113.21=c squared 10.6400188=c even tho i thought this was the answer it is not

asked by samantha on August 29, 2008
10. ### maths

1.how many non congruent right triangles with positive integer leg lengths have areas that are numerically equal to 3 times their perimeters? 2.a triangle with side lengths in the ratio 3:4:5 is inscribed in a circle of radius

asked by ramesh reddy on May 7, 2013

More Similar Questions