Eisatopon Math AI Challenges: A Median Surprise

Τρίτη 1 Μαΐου 2018

Let

D, E, F

be the midpoints of the sides of ΔABC, as shown below. Rotate triangles

C D G, A E G, B F G

180 \circ

around points

D, E, F

, respectively, into triangles

B D G_{b}, C E G_{c}, A F G_{a}

This procedure creates three congruent triangles:

A G G_{a}, B G G_{b}

, and

C G G_{c}

Τρίτη 1 Μαΐου 2018