We can find the area of triangle ABC in Figure 9.7 by adding the areas of the two right

Chapter 9, Problem 9.2.25

(choose chapter or problem)

We can find the area of triangle ABC in Figure 9.7 by adding the areas of the two right triangles formed by the perpendicular from vertex C to the opposite side. (a) Find values for sin , cos , sin , and cos in terms of a, b, c1, c2, and h. (b) Show that Area CAD = (1/2)ab sin cos Area CDB = (1/2)ab cos sin . (c) Use the sum formula to explain why Area ABC = (1/2)ab sin C.

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