In the triangle shown a = 5. 3 in., y = 42°, and b = 6 in.

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In the triangle shown a = 5. 3 in., y = 42°, and b = 6 in. Defme a, y, and b as variables, and then:
ь

(a) Calculate the length b by using the Law of Cosines.
(Law of Cosines: c2 = a2 + b2 - 2abcosy)
(b) Calculate the angles β and y (in degrees) using the Law of Cosines.
(c) Check that the sum of the angles is 180°.

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