Find all missing sides and angles for triangle ABC where a, b and ca re the lengths of the sides opposite angles A,B and C.

Question

b=15mm, B=27 degree, C=96 degree

Answer 1

A = 180° - 27° - 96°

15 / sin 27° = c / sin 96°

a / sin A = 15 / sin 27°

Answer 2

Given:

b = 15

B = 27

C = 96

Find: a, c, A

To find A, we can simply subtract the two other angles (B and C) from 180:

180 - B - C = 180 - 27 - 96 = 57

To find the sides a and c we can use this identity:

a/sinA = b/sinB = c/sinC

a/sin(57) = 15/sin(27)

a = 15*sin(57)/sin(27)

a = 6.84

c/sin(96) = 15/sin(27)

c = 15.43