Difference between revisions of "1964 IMO Problems/Problem 6"
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== Solution == | == Solution == | ||
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| + | == See Also == | ||
| + | {{IMO box|year=1964|num-b=5|After=Last Question}} | ||
[[Category:Olympiad Geometry Problems]] | [[Category:Olympiad Geometry Problems]] | ||
[[Category:3D Geometry Problems]] | [[Category:3D Geometry Problems]] | ||
Revision as of 11:49, 29 January 2021
Problem
In tetrahedron 
, vertex 
is connected with 
, the centrod of 
. Lines parallel to 
are drawn through 
and 
. These lines intersect the planes 
and 
in points 
and 
, respectively. Prove that the volume of is one third the volume of 
. Is the result true if point 
is selected anywhere within ?
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 1964 IMO (Problems) • Resources | ||
| Preceded by Problem 5 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by [[1964 IMO Problems/Problem {{{num-a}}}|Problem {{{num-a}}}]] |
| All IMO Problems and Solutions | ||
