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Home > CCG > Chapter 6 > Lesson 6.2.1 > Problem 6-56

6-56.

Penelope measured several sides and heights of , as shown in the diagram below. Find the area of twice, using two different methods.
Triangle A, B, C with a length, 3, dotted line drawn from vertex A perpendicular to side B, C at E. Length B, E is 2. Length E, C is 4. Side A, C, is parallel to a line at the top going through vertex B. A dotted line is drawn from Vertex A perpendicular to the top parallel line.

Remember: a base and a height must be perpendicular!
Which side can be used as a base? As the height?

One method could be to use  as the base and  as the height.

Use another side as a base. But why is using  as the base a bad idea? 

Use  as the base.