1. Show that if 3 divides n2 evenly then 3 divides n evenly. [Hint: n can only be of the form 3a, 3a + 1 or 3a + 2]
2. The point P lies within the angle ABC and is equidistant from AB and BC. Prove that PB bisects the <ABC
3.In triangle ABC, P is a point on BC such that PB PC and PA bisects <A. Prove that AB AC.