A= 25cm B=15cm C=? AngleA=? AngleB=? AngleC=31°

Question

How would I find the other side length of this triangle and the other 2 angle measurements?

Answer 1

Note that angles are designated by capital letters, e.g., ∠A, and sides by small letters, e.g., side b.

 

You indicate "Laws of Sine and Cosine." That is exactly how you determine the other two angles and the third side.

 

a = 25cm

b = 15cm

c = ?

 

m∠C = 31°

 

c² = a² + b² - 2ab cos C.

c² = (25)² + (15)² - 2(25)(15)(cos 31)

 

Use the value of "c" and the Law of Sines to determine measure of angles A and B.