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What If - Iteration #1

WHAT I DID ...

Constructed right triangle ABC. Found midpt (D) of side AC. Placed a random point (E) on the hypotenuse AB. Constructed a "pseudo-midline" (DE). Measured AE, EB, BC, CD, DA, and DE. Dragged E until DE = CD = DA.

WHAT I NOTICED ...

Looked like E was at the foot of the triangle (from point C). So, I constructed CE and measured angle BEC. Then, re-worked ideas (see What If - Iteration #2).