grayp
Geometry sidespliting Theorem.



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grayp
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dw:1358229934642:dw

grayp
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Use the sidespliting theorem to find x.

grayp
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dw:1358230905589:dw

grayp
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the bottom one is messy by ? and 6 equals 15

mathstudent55
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When you draw a segment parallel to one side of a trianlge, it splits the other sides into proportional segements.
dw:1358231159770:dw

grayp
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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.

mathstudent55
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Cross multiply, then FOIL on both sides.
(x  1)(x  2) = (x + 1)(x  3)

grayp
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thanks I'll try that again

mathstudent55
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x^2  3x + 2 = x^2  2x  3

mathstudent55
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Tell me if you get the above.

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

mathstudent55
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Good. Now subtract x^2 from both sides.

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

mathstudent55
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x^2  3x + 2 = x^2  2x  3
 x^2 x^2

3x + 2 = 2x  3
+ 2x 2 +2x  2

x = 5
x = 5

mathstudent55
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That's it. You got it.

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

mathstudent55
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You're welcome.