Difference between revisions of "1988 OIM Problems/Problem 3"
(Created page with "== Problem == Prove that from all triangles whose vertices are 3, 5 and 7, away from a given point <math>P</math>, that the one with the largest perimeter has <math>P</math>...") |
|||
| Line 1: | Line 1: | ||
== Problem == | == Problem == | ||
Prove that from all triangles whose vertices are 3, 5 and 7, away from a given point <math>P</math>, that the one with the largest perimeter has <math>P</math> as its incenter. | Prove that from all triangles whose vertices are 3, 5 and 7, away from a given point <math>P</math>, that the one with the largest perimeter has <math>P</math> as its incenter. | ||
| + | |||
| + | ~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ||
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
| + | |||
| + | == See also == | ||
| + | https://www.oma.org.ar/enunciados/ibe3.htm | ||
Latest revision as of 12:28, 13 December 2023
Problem
Prove that from all triangles whose vertices are 3, 5 and 7, away from a given point 
, that the one with the largest perimeter has as its incenter.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
