# ABCD is a square. The diagonals AC & BD cut at E. From B a perpendicular is drawn to the bisector of /_DCEand it cuts AC atP and DC at Q. Can you prove that DQ = 2PE?

##### 1 Answer

Oct 24, 2017

see explanation.

#### Explanation:

Let

given

as

By angle bisector theorem,

in

in

since

Hence