Difference between revisions of "1971 Canadian MO Problems/Problem 3"
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Revision as of 17:17, 7 August 2016
Problem
is a quadrilateral with 
. If 
is greater than 
, prove that 
.
Solution
Consider triangles 
and 
. These triangles share two of the same side lengths. Thus, by the Hinge Theorem, since we are given that 
, we have .
See Also
| 1971 Canadian MO (Problems) | ||
| Preceded by Problem 2 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • | Followed by Problem 4 |
