7. Non-Right Triangles

Solve each triangle. See Examples 2 and 3.

C = 45.6°, b = 8.94 m, a = 7.23 m

Solve each triangle. See Examples 2 and 3.

a = 9.3 cm, b = 5.7 cm, c = 8.2 cm

Solve each triangle. See Examples 2 and 3.

a = 42.9 m, b = 37.6 m, c = 62.7 m

Solve each triangle. See Examples 2 and 3.

a = 965 ft, b = 876 ft, c = 1240 ft

Solve each triangle. See Examples 2 and 3.

A = 80° 40', b = 143 cm, c = 89.6 cm

Solve each triangle. See Examples 2 and 3.

B = 74.8°, a = 8.92 in., c = 6.43 in.

Solve each triangle. See Examples 2 and 3.

A = 112.8°, b = 6.28 m, c = 12.2 m

CONCEPT PREVIEW Assume a triangle ABC has standard labeling.

a. Determine whether SAA, ASA, SSA, SAS, or SSS is given.

b. Determine whether the law of sines or the law of cosines should be used to begin solving the triangle.

a, B, and C

Find the exact area of each triangle using the formula 𝓐 = ½ bh, and then verify that Heron's formula gives the same result.

<IMAGE>

Find the area of each triangle ABC.

a = 76.3 ft, b = 109 ft, c = 98.8 ft

Find the length of the remaining side of each triangle. Do not use a calculator.

<IMAGE>