perplexus.info :: Geometry : A Point in a Triangle

A Point in a Triangle (Posted on 2007-04-12)

Let P be a point in triangle ABC such that angles APB, BPC, and CPA are all 120 degrees. Can lines AB, AC, BC, PA, PB, and PC all have integral lengths?

See The Solution Submitted by Brian Smith

Rating: 3.0000 (1 votes)

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re(2): on another look

| Comment 5 of 9 |

(In reply to re: on another look by Nishant)

"D=-3*y^2 + 4*c^2=0"

Why do you assume that for D to be a square that it must be 0? A counterexample is c=37, y=40, D=676=26^2

Posted by Brian Smith on 2007-04-13 12:24:27

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