Exercises

Practice set

Six short problems covering angle sum, Pythagoras, primary ratios, the law of sines, the law of cosines, and Heron. Attempt each before opening the working.

Exercise 01

Find the third angle.

Triangle ABC with ∠A = 47° and ∠B = 62°.

Exercise 02

Find the hypotenuse.

Right triangle with legs 9 and 12. Right angle between the legs.

Exercise 03

Find sin θ, cos θ, and tan θ.

Right triangle. Opposite to θ is 5, adjacent is 12, hypotenuse is 13.

Exercise 04

Find side a.

∠A = 40°, ∠B = 73°, b = 18. (ASA / AAS setup.)

Exercise 05

Find side c.

a = 8, b = 11, included ∠C = 34°.

Exercise 06

Find the area.

Sides 7, 15, 20.