In triangle ABC, angle BCA = pi/6, AB = 10 and AC = 12. Find the sum of all distinct possible values of BC.
In △ABC△ABC, we have AB=14AB=14, BC=16BC=16, and ∠A=60∘∠A=60∘. Find the sum of all possible values of ACAC.
When I use the Law of Cosines, I get a quadratic like expected. However, when I use Vieta's Formulas to get the sum of the roots, I get the wrong answer. Please help me figure out what I did wrong. OneCognizant Cognizant