Re: [math-fun] Triangle puzzle

https://en.wikipedia.org/wiki/Ceva%27s_theorem ? WFL On 5/31/18, Dan Asimov <dasimov@earthlink.net> wrote:

Let * be a point interior to the equilateral triangle T of side 1.

Say the lines from the vertices of T through the point * each cut the opposite side in the ratio p:1-p, q:1-q, and r:1-r, respectively, when proceeding in the same sense around the triangle.

Puzzle: Express r in terms of p and q.

—Dan

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