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. 👍
2. 👎
3. 👁
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. 👍
2. 👎
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. 👍
2. 👎

Similar Questions

1. Math

1. Find the length of the missing side of the right triangle (A triangle is shown to have a base of 15 cm and a height of 8 cm. The slope of it is unmarked A. 289 cm B. 17 cm *** C. 23 cm D. 4.79 cm 2. Find the length of the

2. Geometry

An isosceles right triangle has an area of 98cm squared. Find the length of each leg. The formula of finding the area of a triangle with one right angle is: (b x h)/2 You know that an isoceles triangles has two equal sides. Those

3. Math

Question: Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle? Please explain why or why not? My answer: Yes, the numbers 24, 32, 40 can be the lengths of a three-sided right triangle because of the

4. Math PLZZ

1. Which set of numbers represents a Pythagorean triple? 6, 9, 12 7, 10, 12 16, 18, 25 27, 36, 45* 2. If the lengths of the legs in a right triangle are 7 and 8, what is the approximate length of the hypotenuse? 1.4 3.8 5.4* 10.6

1. math

The hypotenuse of a right triangle measures 10m. One leg of the triangle is 2m longer then the other. Find the lengths of the legs. How would you solve this equation?

2. math

1)The area A of a triangle varies jointly as the lengths of its base b and height h. If A is 75 when b=15 and h=10,find A when b=8 and h=6 2)Determine the equation of any vertical asymtotes of the graph of f(x)=2x+3/x^2+2x-3 1)

3. math

The height of a triangle is 4 in. greater than twice its base. The area of the triangle is no more than 168 in.2. Which inequality can be used to find the possible lengths, x, of the base of the triangle?

4. 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

1. Algebra

The lengths of the legs of a right triangle are 8 cm and 15 cm What is the length of the hypotenuse