# Math word problem

posted by .

The hypotenuse of a right triangle is 22 m long. The length of one leg is 10 m less than the other. Find the lengths of the legs.
I have so far
let one leg be x
the other leg will be x-10
x^2 +(x-10)^2=22^2
x^2+x^2-20x+100=484

• Math word problem -

carry on ...
x^2+x^2-20x+100=484
2x^2 - 20x - 384 = 0
x^2 - 10x - 192 = 0
I used the formula to solve for x

x = 19.7309

one side is 19.7309, the other 9.7309

• Math word problem -

x^2+x^2-20x+100=484

--> 2x^2-20x-384=0

--> x^2-10x-192=0

Now apply quadratic formula.

## Similar Questions

1. ### intermediate algebra

A right triangle has two legs and a hypotenuse. One leg of the triangle is 3 feet longer than the other leg. The hypotenuse is 15 feet. Find the length of each leg. I got 12 feet and the other leg is 9 feet Is this correct?
2. ### intermediate algebra

A right triangle has two legs and a hypotenuse. One leg of the triangle is 3 feet longer than the other leg. The hypotenuse is 15 feet. Find the length of each leg. I got 12 feet and the other leg is 9 feet Is this correct?
3. ### Algebra 2

The hypotenuse of a right triangle is 25m long. The length of one leg is 10m less than twice the other. Find the length of each leg. Can you tell me how to set this up?
4. ### math

I have 14 questions and I was wondering if someone could check my answers. This is a do or die situation. If I don't get an A, I may not get to graduate. I really appreciate you taking your time to double check theses for me. Thanks …
5. ### Algebra

The flower garden has the shape of a right triangle. 5ft of a perennial border forms the hypotenuse of the triangle, and one leg is 1ft longer than the other leg.Find the lengths of the legs.
6. ### math

5. Find the length of the hypotenuse of a right triangle with legs of 20 cm and 21 cm. 41 cm 841 cm 6 cm 29 cm 6. The length of the hypotenuse of a right triangle is 15 cm. The length of one leg is 9 cm. Find the length of the other …
7. ### 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 hypotenuse. …
8. ### Intermediate Algebra

One leg of a right triangle has a length of 5 m. The other sides have lengths that are consecutive integers. Find these lengths. The other leg is ____ m The length of the hypotenuse is ____ m Is my answer correct?
9. ### Algebra 2 Honors

Hi, I'd like some help with one of the questions on my math homework. It has to do with a right triangle. I'm not sure how to set it up or if I should use the pythagorean theorem. This is the question: Vista county is setting aside …
10. ### Algebra 1

A right triangle has 1 leg that is 2" longer than the other leg. the length of the hypotenuse is sqrt 130" Find lengths of legs 0=2x^+4x-126

More Similar Questions