MathDB

computational, convex ABCD,<A=<C, B bisector passes midpoint of CD, CD=3AB

Source: 2013 Argentina OMA L3 p2

June 17, 2020

convex quadrilateralequal anglesratioangle bisectorgeometry

Problem Statement

In a convex quadrilateral

ABCD

the angles

\angle A

and

\angle C

are equal and the bisector of

\angle B

passes through the midpoint of the side

CD

. If it is known that

CD = 3AD

, calculate

\frac{AB}{BC}