Find the area of each triangle ABC.
A = 42.5°, b = 13.6 m, c = 10.1 m

Standing on one bank of a river flowing north, Mark notices a tree on the opposite bank at a bearing of 115.45°. Lisa is on the same bank as Mark, but 428.3 m away. She notices that the bearing of the tree is 45.47°. The two banks are parallel. What is the distance across the river?

Use the law of sines to find the indicated part of each triangle ABC.

Find b if a = 165 m, A = 100.2°, B = 25.0°

Find the area of each triangle using the formula 𝓐 = ½ bh, and then verify that the formula 𝓐 = ½ ab sin C gives the same result.

<IMAGE>

Determine the number of triangles ABC possible with the given parts.

a = 50, b = 26, A = 95°

Find the area of each triangle ABC.

B = 124.5°, a = 30.4 cm, c = 28.4 cm

Find the area of each triangle ABC.

A = 56.80°, b = 32.67 in., c = 52.89 in.

Find the area of each triangle ABC.

A = 59.80°, b = 15.00 cm, C = 53.10°

A painter is going to apply paint to a triangular metal plate on a new building. Two sides measure 16.1 m and 15.2 m, and the angle between the sides is 125°. What is the area of the surface to be painted?