Posted by **Allie** on Friday, September 24, 2010 at 10:07pm.

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 -
**Reiny**, Friday, September 24, 2010 at 10:23pm
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 -
**Ron**, Friday, September 24, 2010 at 10:30pm
x^2+x^2-20x+100=484

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

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

Now apply quadratic formula.

## Answer This Question

## Related Questions

- Math - 1) The hypotenuse of an isosceles right triangle is 8 cm longer than ...
- Intermediate Algebra - One leg of a right triangle has a length of 5 m. The ...
- math - I have 14 questions and I was wondering if someone could check my answers...
- math - 5. Find the length of the hypotenuse of a right triangle with legs of 20 ...
- Algebra 1 - A right triangle has 1 leg that is 2" longer than the other leg. the...
- Algebra 2 Honors - Hi, I'd like some help with one of the questions on my math ...
- algebra - The hypotenuse of a right triangle is 8m long. One leg is 2m longer ...
- intermediate algebra - A right triangle has two legs and a hypotenuse. One leg ...
- intermediate algebra - A right triangle has two legs and a hypotenuse. One leg ...
- Algebra - The flower garden has the shape of a right triangle. 5ft of a ...

More Related Questions