MathDB

BMT 2020 Fall - Geometry Tiebreaker 2

Source:

December 30, 2021

geometry

Problem Statement

Quadrilateral

ABCD

is cyclic with

AB = CD = 6

. Given that

AC = BD = 8

and

AD+3 = BC

, the area of

ABCD

can be written in the form

\frac{p\sqrt{q}}{r}

, where

p, q

, and

r

are positive integers such that

p

and

r

are relatively prime and that

q

is square-free. Compute

p + q + r

.

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