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>? | ||
| + | {{image}} | ||
| − | <center><math> \mathrm{(A) \ } \qquad \mathrm{(B) \ } \qquad \mathrm{(C) \ } \qquad \mathrm{(D) \ } \qquad \mathrm{(E) \ } </math></center> | + | <center><math> \mathrm{(A) \ }1 \qquad \mathrm{(B) \ }4/3 \qquad \mathrm{(C) \ }\sqrt{2} \qquad \mathrm{(D) \ }3/2 \qquad \mathrm{(E) \ }2 </math></center> |
== Solution == | == Solution == | ||
| − | + | {{sol}} | |
== 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]] | ||
Revision as of 20:17, 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 
?
An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.
