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2 May, 20:54

In triangle XYZ, XY = 13, YZ=20, and XZ=25. What is the measure of angle Z to the nearest degree?

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  1. 3 May, 00:01
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    We can use Law of Cosines to solve for the angle of Z. The solution is shown below:

    cos C = (a²+b²-c²) / 2ab

    cos Z = (yz² + xz² - xy²) / 2*yz*xz

    cos Z = (20² + 25 - 13²) / 2*20*25

    cos Z = 856 / 1000

    Z=31.13°

    The answer is angle 31.13°.
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