SOLUTION: If the length of a is 16 centimeters, the length of b is 10 centimeters, and the measure of ∠C is 22°, what is the length of c? Round your answer to two decimal places.

Algebra ->  Triangles -> SOLUTION: If the length of a is 16 centimeters, the length of b is 10 centimeters, and the measure of ∠C is 22°, what is the length of c? Round your answer to two decimal places.      Log On


   

Question 945158: If the length of a is 16 centimeters, the length of b is 10 centimeters, and the measure of ∠C is 22°, what is the length of c? Round your answer to two decimal places.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the law of cosines,
c%5E2=a%5E2%2Bb%5E2-2ab%2Acos%28C%29
c%5E2=16%5E2%2B10%5E2-2%28160%29cos%2822%29
c%5E2=256%2B100-320%280.9272%29
c%5E2=59.3
c=7.7