Analytical Trigonometry True or False

1. What is the formula for the area of a triangle given two side measurements and an included angle? -> A = ½ab sin C
2. Find the area of a triangle with sides measuring 23 units and 27 units, with an included angle of 42°. -> 207.8 units2
3. Find the area of a triangle with sides measuring 3 units and 5 units, with an included angle of 22°. -> 2.8 units2
4. A triangle has sides measuring 4 and 8 units and has an area of 5 units2. What is the measurement of the angle between the two given sides? -> 18.2°
5. A triangle has sides measuring 15 units and 12 units. If the angle opposite the side measuring 15 units is 53°, what is the measurement of the angle opposite the side measuring 12 units? -> 86.7°
6. Which of these is a form of the Law of Cosines? ->
7. A triangle has a 40° angle with the side opposite of it measuring 13 units long. If the triangle also has a 60° angle, what is the measurement of the side opposite of the 60° angle? -> 17.5 units
8. A triangle has sides measuring 6, 7, and 10 units. What is the measurement of the angle opposite the side that is 6 units long? -> 53.8°
9. A triangle has sides measuring 10 units and 11 units long, with an included angle of 34°. What is the measurement of the side opposite the 34° angle? -> 38.6 units
10. A triangle has sides measuring 20 units and 22 units. If the angle opposite the third side is 31°, what is the measurement of the third side? -> 22.5 units

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