Question

Solve a triangle when A=40°, B=59°, and c=14.

Answer 1

Answer:

The answer is (c) ⇒ C = 81° , a = 9.1 , b = 12.1

Step-by-step explanation:

∵ m∠A = 40° , m∠B = 59

∴ m∠C = 180 - (40 + 59) = 81

∵ c = 14

By using sin rule

∵ $\frac{14}{sin81}=\frac{a}{sin40}$

∴ $a=\frac{14sin40}{sin81}=9.1$

∵ $\frac{14}{sin81}=\frac{b}{sin59}$

∴ $b=\frac{14sin59}{sin81}=12.1$

∴ m∠C = 81° , a = 9.1 , b = 12.1