Thursday

April 17, 2014

April 17, 2014

Posted by **Bethany** on Tuesday, February 8, 2011 at 12:47am.

- Math -
**drwls**, Tuesday, February 8, 2011 at 1:31amLet the lengths of the legs be a, b and c in increasing order. c is the hypotenuse.

b = a + 5

c = a + 10

c^2 = a^2 + b^2

Three equations in three unknowns. See what you can do with that.

c^2 = a^2 + a^2 + 10a + 25

= 2a^2 + 10a + 25

c^2 = a^2 + 20a + 100

Set the two last equations for c^2 equal to each other and solve for a.

a^2 -10a -75 = 0

(a-15)(a+5) = 0

Only the positive root is allowed.

a = 15

b = 20

c = 25

**Related Questions**

math - The longer leg of a right triangle is 3 more than the shorter leg. The ...

Algebra - The hypotenuse of a right triangle is 5cm long. One leg is 3cm longer ...

Algebra - A lot is in the shape of a right triangle. The shorter leg measures 90...

math - did i do this right? The hypotenuse of a 30 ¨C 60-90 right triangle ...

math - The hypotenuse of a right triangle is 1 cm more than twice the shorter ...

Math - The shorter leg of a right triangle is 14 feet shorter than the longer ...

Quadratic Equations - The longer leg of a right triangle is 3 ft longer than ...

math - A garden has the shape of a right triangle with one leg 3 meters longer ...

math - The shorter leg of a 30°–60°–90° triangle is 10. What are the lengths of ...

Math - A room is in the shape of a right triangle. The hypotenuse is 8 meters ...