In the triangle shown a = 5 in., b = 7 in., and y = 25°. Define a, b, and y as variables, and then:

(a) Calculate the length of c by substituting the variables in the Law of Cosines.
(Law of Cosines: c2 = a2 + b2 - 2abcosy)
(b) Calculate the angles a and β (in degrees) using the Law of Sines.
(c) Verity the Law of Tangents by substituting the results from part (b) into the right and left sides of the equation.
Law of Tangents: a €“ b/a + b = tan[1/2 (α €“ β)]/[1/2 (α + β)]

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B)B