Question

Trig please help

Law of Sines and the Ambiguous Case.

In ∆ ABC, a =13, c = 12, and m < A = 55*
How many distinct triangles can be drawn given these measurements?

Answer 1

One

Explanation:

13/sin(55) = 12/sinC

sinC = 0.7561403486

C = 49.1, 130.9

Since 130.9+55 = 185.9 > 180

It will not form a triangle

So only one triangle possible with angle 49.1° at C

Answer 2

One

Explanation:

13/sin(55) = 12/sinC

sinC = 0.7561403486

C = 49.1, 130.9

Since 130.9+55 = 185.9 > 180

It will not form a triangle

So only one triangle possible with angle 49.1° at C