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Finding ratio OM/PC if BO=BP in triangle ABC.

Source:

February 7, 2011

ratiogeometry unsolvedgeometry

Problem Statement

Let

M

be the midpoint of side

AC

of the triangle

ABC

. Let

P

be a point on the side

BC

. If

O

is the point of intersection of

AP

and

BM

and

BO = BP

, determine the ratio

\frac{OM}{PC}

.

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