Simple as ABC!

Geometry Level 3

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

A point EE was taken at the mid-point of hypotenuse and the figure was folded along DEDE such that AA coincides with CC. As a result, two separate right triangles CBDCBD and CEDCED were formed. (Fig. 2)

Take AC=hAC = h, AB=pAB = p, BC=bBC = b.

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


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