In Exercises 13–16, find the area of the triangle having the given measurements. Round to the nearest square unit. C = 42°, a = 4 feet, b = 6 feet

In Exercises 41–42, find a to the nearest tenth.

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In Exercises 45–46, find the area of the triangle with the given vertices. Round to the nearest square unit. (-2, -3), (-2, 2), (2, 1)

In Exercises 1–12, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state 'no triangle.' If two triangles exist, solve each triangle. B = 107°, C = 30°, c = 126

In oblique triangle ABC, A = 34°, B = 68°, and a = 4.8. Find b to the nearest tenth.

In Exercises 39–40, find h to the nearest tenth.

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In triangle $ABC$, angle $A$ is $30°$, angle $B$ is $45°$, and side $a$ (opposite angle $A$) is $10$ units. Using the Law of Sines, what is the approximate value of side $b$ (opposite angle $B$)?

Which of the following pairs of triangles can be proven congruent using the $\mathrm{SAS}$ (Side-Angle-Side) criterion rather than the Law of Sines?

Given two triangles with corresponding angles and side lengths related by the $Law of Sines$, which of the following pairs of triangles can be mapped onto each other using a single translation?