We have to solve this equation, and find out the number of solutions: c=[4cos 31º⁺₋√(11.756-12)]/2= c=(4cos 31º⁺₋√(-0.244)/2 Because we have the square root of a negative number, we don´t have any possible solutions, that is to say , there are not real solutions for this equation.
Answer: We don´t have any triangle with these measures.