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

1993 OIM Problems/Problem 4

Revision as of 14:16, 13 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == Let <math>ABC</math> be an equilateral triangle and <math>Q</math> be its inscribed circle. If <math>D</math> and <math>E</math> are points on sides <math>AB</ma...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Let $ABC$ be an equilateral triangle and $Q$ be its inscribed circle. If $D$ and $E$ are points on sides $AB$ and $AC$, respectively, such that $DE$ is tangent to $Q$, show that $(AD)/(DB)+(AE)/(EC) = 1$.

~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.

See also

https://www.oma.org.ar/enunciados/ibe8.htm

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1993_OIM_Problems/Problem_4&oldid=207054"