There are two possible triangles with the measures given for triangle ABC. b = 20.2, c = 18.3, C = 38°

Question

Kolby Huang

Mathematics

28 February, 20:23

There are two possible triangles with the measures given for triangle ABC. b = 20.2, c = 18.3, C = 38°

+2

Answers (1)

Know the Answer?

Keaton Conway · Answer 1

Ok

First use the sine rule to find one value

b / sin B = c / sin C

20.2 / sin B = 18.3 / sin 38

sinB = 20.2 * sin 38 / 18.3 = 0.6796

m < B = 42.8 degrees

the other possible measure is 180 - 42.8 = 137.2 degrees