Question

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. (5 points)

B = 40°, b = 25, c = 26

Answer 1

Law od sines :

b / SenB = c / SenC

25 / Sen40 = 26 / SenC

25.SenC/Sen40 = 26

25.SenC = 26.Sen40

SenC = 26.Sen40 / 25

SenC = 0,668499114

Applying ArcSen on both the sides:

We have:

ArcSen(SenC) = ArcSen(0,668499114)

C = 41,95°

Answer 2

First Triangle:

A= 98, C=42, a= 38.5

Second Triangle:

A=2, C=138, a=1.4

Explanation: