2195

Prove the red medians trisect the blue line segment.

2066

Prove, in the yellow triangle, a median, an altitude, and an angle bisector are concurrent.

1645

Medians of right triangles are parallel. Prove the red angle between the hypotenuses is double the green angle between legs.

308

Squares are constructed on two sides of a triangle. Prove the red line segment is double the blue line segment.

260

The sides of the triangle on the right are parallel to the medians of the triangle on the left. Prove the sides of the triangle on the left are parallel to the medians of the triangle on the right.

167

Prove $2m^2=b^2+c^2-2a^2$.