MathDB

equidistant hexagon

Source: 2019 AIME I #3

March 14, 2019

AMCAIMEAIME Igeometry2019 AIME I2019 AMCarea

Problem Statement

In

\triangle PQR

,

PR=15

,

D

, and

PQ=25

. Points

A

and

B

lie on

\overline{PQ}

, points

C

and

D

lie on

\overline{QR}

, and points

E

and

F

lie on

\overline{PR}

, with

PA=QB=QC=RD=RE=PF=5

. Find the area of hexagon

ABCDEF

.

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