Question

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

Answer 1

(c) ⇒ C = 81° , a = 9.1 , b = 12.1

Explanation:

Answer 2

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

Explanation:

∵ m∠A = 40° , m∠B = 59

∴ m∠C = 180 - (40 + 59) = 81

∵ c = 14

By using sin rule

∵
`(14)/(sin81)=(a)/(sin40)`

∴
`a=(14sin40)/(sin81)=9.1`

∵
`(14)/(sin81)=(b)/(sin59)`

∴
`b=(14sin59)/(sin81)=12.1`

∴ m∠C = 81° , a = 9.1 , b = 12.1