Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

1988 OIM Problems/Problem 3

Revision as of 12:03, 13 December 2023 by Tomasdiaz (talk | contribs) (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>...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Prove that from all triangles whose vertices are 3, 5 and 7, away from a given point $P$, that the one with the largest perimeter has $P$ as its incenter.

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1988_OIM_Problems/Problem_3&oldid=206984"