1972 USAMO Problems/Problem 5
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Problem
A given convex pentagon 
has the property that the area of each of the five triangles 
, 
, 
, 
, and 
is unity. Show that all pentagons with the above property have the same area, and calculate that area. Show, furthermore, that there are infinitely many non-congruent pentagons having the above area property.
Solution
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See also
| 1972 USAMO (Problems) | ||
| Preceded by Problem 4 | 1 • 2 • 3 • 4 • 5 | Followed by Last Question |
| All USAMO Problems and Solutions | ||
