Question

In the following triangle theata = 60 find values of angles B and B’ which solve this ambiguous case

Answer 1

Option A is the correct answer i.e. B = 64.13⁰ or B' = 115.87⁰

What is Triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.

Here, By the sine law,

    a/sin A = b / sin B

     a sin B   =     b sin A

     15.4 sin B' = 16 sin θ

      sin B'  = 16 sin θ / 15.4

      sin B' = 1.038 sin θ

      sin B' = 1.038 X 0.867

      sin B' = 0.8998

      B' = 115.87⁰

Now,      ∠B + ∠B' = 180⁰

              ∠B + 115.87⁰ = 180⁰

              ∠B = 180⁰ - 115.87⁰

               ∠B = 64.13⁰

Thus, Option A is the correct answer i.e. B = 64.13⁰ or B' = 115.87⁰.

Learn more about Triangle from:

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