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Home > CCG > Chapter 8 > Lesson 8.3.1 > Problem 8-93

8-93.

Find the area of the shaded region for the regular pentagon at right if the length of each side of the pentagon is 10 units. Assume that point is the center of the pentagon.

Try dividing the pentagon into congruent triangles.
What trig ratio can you use to find the height of one of these triangles?
Use this height to find the area of one triangle, this is a good starting point to find the area of the shaded region.

A regular pentagon with divided into 5 equal triangles about the center point, C.  Each side length of the pentagon is 10.