Eisatopon Math AI Challenges: A Lemma of Equal Areas

Τετάρτη 1 Μαΐου 2019

Let

A, B, C

be three collinear points.

D, E

are two points on one side with respect to line that contains

A, B, C

and such that

A D ∥ B E

and

B D ∥ C E

M

is midpoint of

A C

. Then

(D E M) = \frac{(A B D) + (B C E)}{2}