# Trigonometry! #91

Geometry Level 3

If in a $$\Delta ABC$$, $\cos A \cos B + \sin A \sin B \sin C = 1$ then express the ratio $$a:b:c$$ in its most simplest form, $$x:y:z$$ and enter the value of $$x^{2}+y^{2}+z^{2}$$.

This problem is part of the set Trigonometry.

×