Question

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)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.
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.


Related Questions

The area of triangle ABD is 1/4 the area of triangle ABC. Find y, the missing coordinate of vertex D... What's the area of the triangle below? length: 8m width: 6m Question 2 options: A) 7 squ... What is the area of a triangle 18cm and 12cm What is the area of a triangle with height 18cm and base 12cm A triangle with an area of 25 square units is rotated 180° clockwise. What is the area of the ro... A triangle with an area of 25 square units is rotated 180° clockwise. What is the area of the rotat... triangle with an area of 25 square units is rotated 180° clockwise. What is the area of the rotate... A right triangle has an area of 33 mm² and a height of 11 mm. How long is the base of the triangl... What is the area of triangle PQR? Triangle P Q R has a base of 86 inches and a height of 52 inche... What is the area of a triangle with a base of 8in and a height of 4in?(1 point) Responses 32 sq. in....