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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Puzzle Thoughts

Comment 9 of 9 |

Yes, each of the six lines can have integral lengths.

The smallest solution is: x=195, y=264, z=325, AB=399, AC=455, BC=511

Posted by K Sengupta on 2024-06-05 01:40:40

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