Olympiad Geometry Problem #50: Incenter, Midpoint, Parallel

preview_player
Показать описание
Here is a fantastic problem that I found on the Art of Problem Solving Forum by the poster Twilight Zone, one of my favorite TV shows! Not sure where he/she got the problem, but it was a delight to solve. Link below.
  1. Michael Greenberg
Рекомендации по теме
Olympiad Geometry Problem 0:13:43

Olympiad Geometry Problem #50: Incenter, Midpoint, Parallel

Olympiad Geometry Problem 0:09:32

Olympiad Geometry Problem #97: Incircle, Tangency Points, Concurrence

Olympiad Geometry Problem 0:10:50

Olympiad Geometry Problem #61: Angle Bisector, Perpendicular Bisector Cyclic Quad

Olympiad Geometry Problem 0:13:48

Olympiad Geometry Problem #91: Two Perpendiculars, Midpoint, Equal Segments

Too many answers 0:12:44

Too many answers | Olympiad Math Questions |Preparation ukmt senior junior maths challenge 2022 2023

Olympiad Geometry Problem 0:06:36

Olympiad Geometry Problem #51: Pascal's Theorem

Olympiad Geometry Problem 0:09:00

Olympiad Geometry Problem #13: Diameter, Tangent, Equal Segments

What is the 0:04:03

What is the measure of angle B in the triangle ABC? Math Olympiad Geometry problem.

Australian Mathematical Olympiad 0:08:56

Australian Mathematical Olympiad 2017, problem 6 (geometry)

Configurations in Olympiad 1:31:17

Configurations in Olympiad Geometry by Abhay Bestrapalli

Solving an IMO 0:10:11

Solving an IMO problem with the Incenter-Excenter Lemma - 2006 IMO Problem 1

8th Standard - 0:09:13

8th Standard - OLYMPIAD - Maths - ANALYTICAL GEOMETRY - CENTROID, INCENTER OF A TRIANGLE-2

Find the value 0:08:34

Find the value of Angle DEC | Maths | Triangles, Circles and Chords | Geometry | IMO Olympiad

Distance between centroid 0:00:55

Distance between centroid and Orthocenter| geometry| @logicxonomy| #shorts

International Mathematical Olympiad 0:02:50

International Mathematical Olympiad

Find ∠EDB || 0:07:00

Find ∠EDB || Difficult Geometry Problem || 80-80-20 Isosceles ∆ || ∠ABD =60°, ∠EAB =30°.

How to think 0:06:14

How to think outside the Box to chase the angles? | Find angle Theta |(Geometry skills) #math #maths

Topic 8 0:01:42

Topic 8

A semicircle and 0:05:01

A semicircle and a tangent to semicircle is drawn. The external point of tangent is joined to A.

Geometry 5-3 Bisectors 0:02:15

Geometry 5-3 Bisectors in Triangles: Problem 3 - Identifying and Using the Incenter of a Triangle

2023 CMIMC (geometry): 0:05:52

2023 CMIMC (geometry): Problem 8

Find Side (h) 0:05:16

Find Side (h) Of Given Triangle | Radius of InCircle is 2- Important Geometry Skills Explained

Find 'x'. Hard 0:08:31

Find 'x'. Hard Geometry Problem of Isosceles ∆.

With help of 0:15:37

With help of 2 mathematicians solve | SMO 2021 Singapore Math Olympiad 2022 Open Solutions Round 2

Комментарии
Автор

This is very useful. It would be nice if you could show the way to do it without projective.
Thanks,

Lionroarr
Автор

hi Michael, will you ever do a video on inversion?

helo
Автор

Let α and β be two circles of centers O and P, respectively, and radius OP both. One of the points where these circles intersect is A. The line AP intersects β in B and the line OB intersects α in C. Finally, the line CP intersects β in D. Find the measure of ∠CDO.

jdparking