There aren't any of these in Middle Earth

Geometry Level 3

In triangle ABC, AB=13, BC=17, and AC=16. Points X, Y, and Z are on AB, BC, and CA respectively such that AX=6, BY=7, and CX, AY, and BZ all meet at a point L. Find CZ.


The answer is 10.

Frodo Baggins by Frodo Baggins , 21, New Zealand

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1 solution

Frodo Baggins
Jun 30, 2014

By Ceva's Theorem , CZ is 10.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Hey, I found out how I have so many upvotes. One of my solutions has 72. :P.

Josh Speckman - 6 years, 11 months ago

Yeah.... how did i forget this :(

Jayakumar Krishnan - 6 years, 9 months ago

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