Posted by **Anonymous** on Friday, March 8, 2013 at 12:35am.

Circles Γ1 and Γ2 intersect at 2 distinct points A and B. A line l through A intersects Γ1 and Γ2 at C and D, respectively. Let M be the midpoint of CD. The line MB intersects Γ1 and Γ2 again at E and F, respectively. If MA=129,MB=156 and MC=182, what is the value of EF?

- circle geometry -
**Steve**, Friday, March 8, 2013 at 4:51am
I worked this earlier:

29*182 = ME*156, so ME = 33.8333

MD = MC = 129+182 = 311

MF*156 = 129*311, so MF = 257.173

EF = MF+ME = 33.833+257.173 = 291

Is my answer incorrect?

- circle geometry -
**Anonymous**, Friday, March 8, 2013 at 3:53pm
Incorrect.

- circle geometry -
**Madi**, Friday, March 8, 2013 at 5:17pm
The correct answer is 301.

Steve, in the first line is 129, not 29... and you shouldn't work with decimals because in the end the ugly dominator simplifies with the numerator.

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