The points $(3,2)$, $(-2,-3)$ and $(2,3)$ form which type of triangle?

Using the distance formula, the side lengths are $\sqrt{50}$, $\sqrt{52}$ and $\sqrt{2}$. Their squares satisfy $50+2=52$, so by the converse of Pythagoras theorem the triangle is right-angled. They do form a triangle because the side lengths satisfy the triangle inequality.