Wednesday

July 30, 2014

July 30, 2014

Posted by **Jess** on Monday, April 30, 2012 at 10:43pm.

- math -
**MathGuru**, Tuesday, May 1, 2012 at 5:55pmSome basics:

24 = longest leg

x = shortest leg

4x - 3 = hypotenuse

Remember the following:

a^2 + b^2 = c^2

24^2 + x^2 = (4x - 3)^2

576 + x^2 = 16x^2 - 24x + 9

Set the equation equal to 0:

0 = 15x^2 - 24x - 567

Factoring:

0 = 3(5x^2 - 8x - 189)

0 = 3(5x + 27)(x - 7)

Set the factors equal to 0:

5x + 27 = 0; x = -27/5

x - 7 = 0; x = 7

Since you can't have a negative number, x = 7 is your only answer.

I hope this explanation will help with other problems of this type.

- math -
**MathGuru**, Tuesday, May 1, 2012 at 5:58pmRemember to substitute 7 for x to figure out the length of the hypotenuse!

**Related Questions**

Geometry - I need help in this problem: A 14-foot ladder is leaning against a ...

math - I have 14 questions and I was wondering if someone could check my answers...

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

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 ...

Math word problem - The hypotenuse of a right triangle is 22 m long. The length ...

Math - The longer leg of a triangle is one foot less than twice the shorter leg...

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

Math - Right Triangle one leg is 400ft. long. The hypotenuse of the triangle is ...

Algebra 2 - The hypotenuse of a right triangle is 25m long. The length of one ...