Difference between revisions of "1960 IMO Problems/Problem 7"
m |
m |
||
| Line 13: | Line 13: | ||
==See Also== | ==See Also== | ||
| − | {{ | + | {{IMO7 box|year=1960|num-b=6|after=Last Question}} |
[[Category:Olympiad Geometry Problems]] | [[Category:Olympiad Geometry Problems]] | ||
Revision as of 18:04, 15 September 2012
Problem
An isosceles trapezoid with bases 
and 
and altitude 
is given.
a) On the axis of symmetry of this trapezoid, find all points 
such that both legs of the trapezoid subtend right angles at ;
b) Calculate the distance of from either base;
c) Determine under what conditions such points actually exist. Discuss various cases that might arise.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 1960 IMO (Problems) | ||
| Preceded by Problem 6 |
1 • 2 • 3 • 4 • 5 • 6 • 7 | Followed by Last Question |
