Area from Two Sides and the Included Angle Worksheet with Answer Key

What's on the worksheet

1. Find the area of each triangle, exactly where the sine is exact, otherwise to two decimal places (use a calculator).
   a = 8, c = 5, B = 150^\circIn \triangle XYZ, XY = 6, YZ = 10, Y = 45^\circb = 2\sqrt{3}, c = 4, A = 60^\circa = 9, b = 14, C = 112^\circ
2. A felt pennant is an isosceles triangle.
3. A wall clock has an hour hand 5 cm long and a minute hand 8 cm long, both measured from the center.
4. A room has an angled corner where two walls meet at 120°.
5. In triangle ABC, a = 5, b = 11 and the area is 22.
6. A regular dodecagon (12 sides) has its corners on a circle of radius r.