MathDB

Chasing Lengths in Quadrilateral

Source:

December 28, 2006

number theoryrelatively prime

Problem Statement

In quadrilateral

ABCD

,

\angle{BAD}\cong\angle{ADC}

and

\angle{ABD}\cong\angle{BCD}

,

AB=8

,

BD=10

, and

BC=6

. The length

CD

may be written in the form

\frac{m}{n}

, where

m

and

n

are relatively prime positive integers. Find

m+n

.

Back to Problems View on AoPS