## grayp 2 years ago Geometry side-spliting Theorem.

1. grayp

|dw:1358229934642:dw|

2. grayp

Use the side-spliting theorem to find x.

3. grayp

|dw:1358230905589:dw|

4. grayp

the bottom one is messy by ? and 6 equals 15

5. mathstudent55

When you draw a segment parallel to one side of a trianlge, it splits the other sides into proportional segements. |dw:1358231159770:dw|

6. grayp

Yeah I did that but my whats the correct answer for x? I foiled the numbers then tried to factor but that didn't work.

7. mathstudent55

Cross multiply, then FOIL on both sides. (x - 1)(x - 2) = (x + 1)(x - 3)

8. grayp

thanks I'll try that again

9. mathstudent55

x^2 - 3x + 2 = x^2 - 2x - 3

10. mathstudent55

Tell me if you get the above.

11. grayp

thats what i got but then x would have to be x^2 - x + 5 = x^2 that would have to be the answer.

12. mathstudent55

Good. Now subtract x^2 from both sides.

13. grayp

0= -x + 5 then add x to the other side x= 5

14. mathstudent55

x^2 - 3x + 2 = x^2 - 2x - 3 - x^2 -x^2 ---------------------------- -3x + 2 = -2x - 3 + 2x -2 +2x - 2 ---------------------------- -x = -5 x = 5

15. mathstudent55

That's it. You got it.

16. grayp

I appreciate all the help, I just didn't know I could subtract 2x. thanks very much.

17. mathstudent55

You're welcome.