7. Non-Right Triangles

Solve each triangle. See Examples 2 and 3.

A = 112.8°, b = 6.28 m, c = 12.2 m

Use the formula for the cosine of the difference of two angles to solve Exercises 1–12. In Exercises 1–4, find the exact value of each expression. cos(45° - 30°)

Solve the triangle: $b=5,c=3,A=100\(\degree\)$.

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

Solve each triangle. See Examples 2 and 3.

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

In Exercises 25–30, use Heron's formula to find the area of each triangle. Round to the nearest square unit.

a = 4 feet, b = 4 feet, c = 2 feet

In Exercises 1–8, solve each triangle. Round lengths of sides to the nearest tenth and angle measures to the nearest degree.

Use a sum or difference formula to find the exact value of each expression. cos(45° + 30°)