MathDB

Higher Secondary P1
A polygon is called degenerate if one of its vertices falls on a line that joins its neighboring two vertices. In a pentagon

ABCDE

AB=AE

BC=DE

P

and

Q

are midpoints of

AE

and

AB

respectively.

PQ||CD

BD

is perpendicular to both

AB

and

DE

. Prove that

ABCDE

is a degenerate pentagon.

Problem Statement