In the triangle shown a 5 in , b 7 in , and y 25 deg 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 Icirc sup2 (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 ( Icirc plusmn Icirc sup2 ) 1 2 ( Icirc plusmn Icirc sup2 ) B)B

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

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 Î² (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 (Î± €“ Î²)]/[1/2 (Î± + Î²)]

B)B

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