Tuesday

July 29, 2014

July 29, 2014

Posted by **purpletree** on Sunday, March 29, 2009 at 12:58pm.

- Quadratic Equations -
**Brianna**, Sunday, March 29, 2009 at 2:58pmshoter leg = x

longer leg = 3x+3

hypot= 4x-3

to solve for hypotenuse you use

a^2 + b^2 = c^2, so

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

(x)(x) + (3x+3)(3x+3) = (4x-3)(4x-3)

then multiply

(x^2) + (9x^2+18x+9) = (16x^2-24x+9)

then combine like terms

10x^2 + 18x + 9 = 16x^2 - 24x + 9

then i subtracted 10x^2 from both sides

and got:

18x + 9 = 6x^2 - 24x +9

next, i subtracted 18x from both sides:

9 = 6x^2 - 42x + 9

and then subtracted 9 from both sides

0 = 6x^2 - 42x

then pull out a 6x on the right side of the equation

0 = 6x(x-7)

so

6x=0

and

x-7=0

so x= 0 and 7

so the shorter leg is :

0 units or 7 units

the longer leg is :

3 units or 24 units

and the hypotenuse is :

-3 units or 25

and since you cant have a hypotenuse with a negative value

i think the three lengths of your triangle are

7, 24, and 25

- Quadratic Equations -
**purpletree**, Monday, March 30, 2009 at 9:22amThanks for the help. :)

**Related Questions**

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

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

Math - A toy manufacturer needs a piece of plastic in the shape of a right ...

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

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

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

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

Algebra - the longer legs of a right triangle is 20 cm more than twice the ...

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

math - Help me I am lost? I do not even know where to start: The shorter leg of ...