Difference between revisions of "University of South Carolina High School Math Contest/1993 Exam/Problem 16"
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== Problem == | == Problem == | ||
− | In the triangle below, <math>M, N,</math> and <math>P</math> are the midpoints of <math>BC, AB,</math> and <math>AC</math> respectively. <math>CN</math> and <math>AM</math> intersect at <math>O</math>. If the length of <math>CQ</math> is 4, then what is the length of <math>OQ</math>? | + | In the triangle below, <math>\displaystyle M, N, </math> and <math>P</math> are the midpoints of <math>BC, AB,</math> and <math>AC</math> respectively. <math>CN</math> and <math>AM</math> intersect at <math>O</math>. If the length of <math>CQ</math> is 4, then what is the length of <math>OQ</math>? |
{{image}} | {{image}} | ||
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== Solution == | == Solution == | ||
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== See also == | == See also == | ||
* [[University of South Carolina High School Math Contest/1993 Exam]] | * [[University of South Carolina High School Math Contest/1993 Exam]] | ||
[[Category:Intermediate Geometry Problems]] | [[Category:Intermediate Geometry Problems]] |
Revision as of 20:18, 22 July 2006
Problem
In the triangle below, and are the midpoints of and respectively. and intersect at . If the length of is 4, then what is the length of ?
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