# Simple as ABC!

Geometry Level 3

A right angled triangle $$ABC$$ (non-isosceles) was cut from a piece of paper as shown in Fig.1.

A point $$E$$ was taken at the mid-point of hypotenuse and the figure was folded along $$DE$$ such that $$A$$ coincides with $$C$$. As a result, two separate right triangles $$CBD$$ and $$CED$$ were formed. (Fig. 2)

Take $$AC = h$$, $$AB = p$$, $$BC = b$$.

Which of these answer choices is equal to the ratio $$\dfrac{ AC}{CD}$$?

×