# How can Radon's lemma be useful?

Let A be a set of $$d$$+2 points in $$R^{d}$$. Then there exist two disjoint subsets $$A1$$, $$A2$$ $$\subset$$ $$A$$ such that
$$conv(A1)$$ $$\cap$$ $$conv(A2)$$ = $$\emptyset$$