Unknown Angle Problem: Suppose you need to construct a triangle with one side 14 cm

Chapter 6, Problem 12

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Unknown Angle Problem: Suppose you need to construct a triangle with one side 14 cm, another side 11 cm, and a given area. a. What two possible values of the included angle will produce an area of 50 cm2? b. Show that there is only one possible value of the included angle if the area were 77 cm2. c. Show algebraically that there is no possible value of the angle if the area were 100 cm2.

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