Posted by **Kym** on Friday, December 17, 2010 at 9:48am.

a right triangle has legs of length 3x and 4x and hypotenuse of length 75. What are the lengths of the legs of the triangle.

- geometry -
**drwls**, Friday, December 17, 2010 at 11:26am
Yse the Pythagorean theorem to show that the hypotenuse is

5x = 75

x = 15.

Take it from there

- geometry -
**musu**, Friday, December 17, 2010 at 3:08pm
Pythagorean theorem

(leg)^2 + (leg)^2= (hypoyenuse)^2

(3x)^2 + (4x)^2 =(75)^2

9x^2 +16x^2 = 5625

25x^2=5625 ]:25

x^2=225

x=15

so, first leg is 3*15=45

second leg is 4*15=60.

## Answer this Question

## Related Questions

- Math - 1) The hypotenuse of an isosceles right triangle is 8 cm longer than ...
- math/geometry - complete the statements: To find the length of the hypotenuse of...
- Math PLZZ - 1. Which set of numbers represents a Pythagorean triple? 6, 9, 12 7...
- geometry - Given the hypotenuse of a right triangle is 600, and the length of ...
- Geometry - The length of a hypotenuse of a right triangle is 29 feet. The ...
- Algebra - What is the length of the hypotenuse of a right triangle with legs of ...
- algebra - a and b are both the lengths of the legs of a right triangle, c is the...
- 9th grade - The lengths of 2 legs of a right triangle are 16 cm and 30 cm. What ...
- Math (Geometry) - The perimeter of right triangle ABC is equal to the perimeter ...
- Math Help! - If the lengths of the legs in a right triangle are 7 and 8, what is...

More Related Questions