SOLUTION: A triangle has sides of lengths 6,12, and 15.find the measure of the smallest angle

Algebra ->  Triangles -> SOLUTION: A triangle has sides of lengths 6,12, and 15.find the measure of the smallest angle      Log On


   



Question 746928: A triangle has sides of lengths 6,12, and 15.find the measure of the smallest angle
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A triangle has sides of lengths 6,12, and 15.find the measure of the smallest angle
----------------
The smallest angle is opposite the shortest side.
Use the Cosine Law.
6%5E2+=+12%5E2+%2B+15%5E2+-+2%2A12%2A15%2Acos%28A%29
Solve for the cosine, then the angle.