LAW OF SINES TO FIND MISSING SIDE

Solve for the unknown in each triangle. Round to the nearest tenth.

Problem 1 :

Solution:

From the picture given above, we know that we need to find the angle A.

BC = a = 22 m, AB = c = 17 m and AC = b 

∠C = 42°

Problem 2 :

Solution:

AC = b = 44 mm, AB = c = x, BC = a

∠A = 35°, ∠B = 88°

Here, 

∠C = 180° - (35° + 88°)

∠C = 57°

Problem 3 :

Solution:

AB = c = 9.4 cm, BC = a = 6 cm, AC = b

∠C = 51°

Problem 4 :

Solution:

AC = b = 12 m, AB = c = 13 m, BC = a

∠B = 67° 

Problem 5 :

Solution:

AB = c = x, BC = a = 21 cm, AC = b

∠B = 48°, ∠C = 61°

∠A = 180° - (48° + 61°)

∠A = 71°

Problem 6 :   

Solution:

AB = c = 45 m, AC = b = x, BC = a

∠A = 118°, ∠C = 52°

∠B = 180° - (118° + 52°)

∠B = 10°