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Equilateral Right Angle Locus (Posted on 2010-10-25) Difficulty: 3 of 5
ABC is an equilateral triangle. M is a point inside triangle ABC and, the respective feet of perpendiculars from M to the sides BC, CA and AB are denoted by D, E and F.

Determine the locus of all such points M for which / FDE is a right angle.

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

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The easy way. Comment 2 of 2 |

1. Construct congruent triangle A'BC as a reflection of ABC across line BC.

2. The part of the circle with origin A' and radius A'C that lies inside ABC represents the required locus.

3. The 3-point circle intersecting B,M,C is equivalent.

  Posted by broll on 2010-10-25 16:17:35
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