[math-fun] Triangle puzzle
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
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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participants (2)
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Dan Asimov -
Fred Lunnon