## 10 May Few Problems - 3

Let $$ABC$$ be an acute angled triangle such that $$\angle BAC = 45 ^o$$. Let $$D$$ be a point on $$AB$$ such that $$CD \perp AB$$. Let $$P$$ be an internal point of the segment $$CD$$. Prove that $$AP\perp BC$$ if and only if...