Difference between revisions of "1999 AIME Problems/Problem 15"
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== Problem == | == Problem == | ||
| − | Consider the paper triangle whose vertices are <math> | + | Consider the paper triangle whose vertices are <math>(0,0), (34,0),</math> and <math>(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 == | ||
| − | {{solution}} | + | {{{solution}}} |
== See also == | == See also == | ||
{{AIME box|year=1999|num-b=14|after=Final Question}} | {{AIME box|year=1999|num-b=14|after=Final Question}} | ||
Revision as of 20:33, 14 October 2007
Problem
Consider the paper triangle whose vertices are 
and 
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
| 1999 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 14 |
Followed by Final Question | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
