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Mathematics 9 Online
OpenStudy (anonymous):

D is the midpoint of AC. E is the midpoint of BC. If DE=5x+2 and AB=7x+19 find DE

OpenStudy (ddcamp):

Would it help if I told you that ABC is similar to DEC? |dw:1382061791292:dw|

OpenStudy (anonymous):

I know that but I don't understand how to solve it

OpenStudy (ddcamp):

We know that the two triangles are similar, and we know that ratio between the lengths in the two triangles is 2:1 (because mBC is 2×mEC)

OpenStudy (anonymous):

Okay, do I have to set up a proportion though?

OpenStudy (ddcamp):

mAB = 2mDE 7x+19 = 2(5x+2)

OpenStudy (anonymous):

|dw:1382062371706:dw|

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