MathDB

2021 Geo #3: Midpoint of a triangle

Source:

May 30, 2021

geometry

Problem Statement

Triangle

ABC

has a right angle at

C

, and

D

is the foot of the altitude from

C

to

AB

. Points

L, M,

and

N

are the midpoints of segments

AD, DC,

and

CA,

respectively. If

CL = 7

and

BM = 12,

compute

BN^2

.

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