MathDB

BMT 2022 Geometry Tiebreaker #3

Source:

August 12, 2023

geometry

Problem Statement

In triangle

\vartriangle ABC

,

M

is the midpoint of

\overline{AB}

and

N

is the midpoint of

AM = 6

. Let

P

be the midpoint of

\overline{BN}

and let

Q

be the midpoint of

\overline{CM}

. If

AM = 6

,

BC = 8

and

BN = 7

, compute the perimeter of triangle

\vartriangle NP Q

.

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