IrMO 1988 Problem 4

Problem: A mathematical moron is given the values b; c; A for a triangle ABC and is required to find a. He does this by using the cosine rule $a^2 = b^2 + c^2 - 2bccosA$ and misapplying the low of the logarithm to this to get $log a^2 = log b^2 + log c^2 - log(2bc cos A)$ He proceeds to evaluate the right-hand side correctly, takes the anti-logarithms and gets the correct answer. What can be said about the triangle ABC?