Analytical Trigonometry Exercises

Find the area of a triangle with an angle of 45° adjacent to sides measuring 17 units and 18 units.

Hint

Use the formula, Luke. Actually, use it even if your name isn't Luke.

Find the area of a triangle with an angle of 30° adjacent to sides measuring 6 cm and 12 cm.

Hint

Remember to stick units on your answer, or else a group of scientists and engineers will come yell at you.

Find the area of a triangle with sides measuring 16 units and 14 units with an included angle of 15°.

Hint

Use the subtraction or half-angle identities to find sin 15.

Find the area of a triangle with sides measuring 150 units and 180 units with an included angle of 60°.

Hint

Now this is a triangle that can stand tall and shake the heavens. At least, assuming the units are large enough.

Find the area of a triangle with sides measuring 8 ft and 9 ft with an included angle of 120°.

Hint

Yes, angles in triangles can be bigger than 90°. We're not stuck with only right triangles anymore. Use the double-angle identity to find sin 120.