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Home > CCG > Chapter 11 > Lesson 11.1.2 > Problem 11-27

11-27.

Examine , , and in the diagram below. If , explain what you know about the areas of the three triangles. Justify your statements.  

2 horizontal lines: each line with points labeled, in order from left to right, top: C, D, E, bottom: A, B. Line segments from, A, to, C, from, A, to D, from, A, to, E, from, B, to, C, from, B, to, D, from, B, to, E.

It may help to examine the triangles when they do not overlap each other.

Triangle, A, B, C, in the same shape as in the original image.

Triangle, A, B, D, in the same shape as in the original image.

Triangle, A, B, E, in the same shape as in the original image.

What do you notice now?

What is true about the base and height of all the triangles?