Question 1067985: Square ABCD has area of 320 square units. Points K, L, M, N are midpoints of the sides of ABCD, P is the point of intersection of KC and BN , and Q is the point of intersection of AM and BN . Find PQ.
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website!  .
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Set up a coordinate system with B at the origin ( ,) and s is the length of the side of the square.
So then,
N is located at ( , )
K is located at (,)
C is located at (,)
M is located at (,)
Find the line BN,
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Find the line KC,
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Find the line AM,
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P is the intersection of BN and KC,
and
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Q is the intersection of BN and AM,
and
So then the distance PQ is,
In this case,
So,
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