Question

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

12

6

19

18

Answer 1

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

Answer 2

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

Answer 3

i need help with the question . @tkhunny

Answer 4

Did you find the ratio theorems?

http://www.cut-the-knot.org/proofs/IntersectingChordsTheorem.shtml

Answer 5

still dont get it @tkhunny

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

The shape is the same.

(Top Left)/(Center) = (Top Right)/(Center)

What are the names of those points?

Answer 11

A/E = D/E

Answer 12

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)

Answer 13

AE/DE=CE/BE ???

Answer 14

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

Answer 15

EB is the same as BE

Answer 16

12/x=4/6 ??

Answer 17

Super. Solve for x.

Answer 18

18

Answer 19

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

Answer 20

thank you!