In the diagram below, AE = 12, EB = 6, and CE = 4. Find DE.
12
6
19
18

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- anonymous

In the diagram below, AE = 12, EB = 6, and CE = 4. Find DE.
12
6
19
18

- jamiebookeater

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- anonymous

http://static.k12.com/eli/bb/817/-1/0/2_36869_44974/-1/5c45df68fdad740c9f94d22ea5f92dd60c7a03f7/media/4a70a33dd5a63173657b147d9b4fd8848be79827/mediaasset_651772_1.jpg

- tkhunny

There are theorems about ratios of such things. You must find them!

- anonymous

i need help with the question . @tkhunny

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- tkhunny

Did you find the ratio theorems?
http://www.cut-the-knot.org/proofs/IntersectingChordsTheorem.shtml

- anonymous

still dont get it @tkhunny

- tkhunny

Did you read the theorem? It provides three ratios. This WILL solve your problem.

- anonymous

AP/CP = BP/DP = AB/CD. ?? @tkhunny

- tkhunny

Very good. Now, the points are labeled differently. What are these same three ratios in terms of the points in your problem statement?

- anonymous

idk how to cause like the shape shown in the example is different @tkhunny

- tkhunny

The shape is the same.
(Top Left)/(Center) = (Top Right)/(Center)
What are the names of those points?

- anonymous

A/E = D/E

- tkhunny

Whoops! Now, I've confused you. I was talking about points and should have been talking about Line Segments.
Let's try that exercise again. This time, what are the labels of the LINE SEGMENTS?
(Top Left)/(Top Right) = (Bottom Left)/(Bottom Right)

- anonymous

AE/DE=CE/BE ???

- tkhunny

Perfect. Now, what information are you given? Look all the way up at the top of this thread.

- tkhunny

EB is the same as BE

- anonymous

12/x=4/6 ??

- tkhunny

Super. Solve for x.

- anonymous

18

- tkhunny

You are done. Move on to the next one with a little more confidence.

- anonymous

thank you!

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