Triangle xz=18.5 m xy=12.2 m ∠x= 73° use the given measurements to find each of the following: A. YZ B. M∠XZY C. M∠xyz D. The area
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This is a classic case for the law of cosines and the law of sines. Let XZ = a, XY = b, YZ = c. Then, by the law of cosines: . After you calculate c, then use the law of sines to find the angles:
How do you find yz?
I defined the length of YZ as c. Since you know the lengths of XZ (a) and XY (b), and the measure of the angle they share (ZXY = C = 73 degrees), you can use the law of cosines to find the length of YZ (c). The calculation is .
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