In triangle ADE, the point B is halfway from A to D and the point C is halfway from A to E. Compare the areas of  triangles ABC and ADE. Explain your reasoning clearly.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.3: More About Regular Polygons
Problem 28E: If possible, draw an equilateral and concave: a triangle c pentagon
Question

In triangle ADE, the point B is halfway from A to D and the point C is halfway from A to E. Compare the areas of  triangles ABC and ADE. Explain your reasoning clearly. 

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