Derivation of the Law of Cosines Problem: Figure 6-2h shows XYZ with angle Z in standard

Chapter 6, Problem 17

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Derivation of the Law of Cosines Problem: Figure 6-2h shows XYZ with angle Z in standard position. The sides that include angle Z are 4 units and 5 units long. Find the coordinates of points X and Y in terms of the 4, the 5, and angle Z. Then use the distance formula and appropriate algebra and trigonometry to show: z2 = 52 + 42 2 5 4 cos Z Figure 6-2h

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