Difference between revisions of "1999 AIME Problems/Problem 15"

 
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== Problem ==
 
== Problem ==
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Consider the paper triangle whose vertices are <math>\displaystyle (0,0), (34,0),</math> and <math>\displaystyle (16,24).</math>  The vertices of its midpoint triangle are the midpoints of its sides.  A triangular pyramid is formed by folding the triangle along the sides of its midpoint triangle.  What is the volume of this pyramid?
  
 
== Solution ==
 
== Solution ==
  
 
== See also ==
 
== See also ==
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* [[1999_AIME_Problems/Problem_14|Previous Problem]]
 
* [[1999 AIME Problems]]
 
* [[1999 AIME Problems]]

Revision as of 02:14, 22 January 2007

Problem

Consider the paper triangle whose vertices are $\displaystyle (0,0), (34,0),$ and $\displaystyle (16,24).$ The vertices of its midpoint triangle are the midpoints of its sides. A triangular pyramid is formed by folding the triangle along the sides of its midpoint triangle. What is the volume of this pyramid?

Solution

See also