GoGeometry

Geometry: The Open Problem Project

Unsolved Challenges & Emerging Solutions (0-2 Submissions)

Intro
The GoGeometry Open Problem Project features a curated selection of geometric theorems and problems awaiting a formal proof or solution. We invite math enthusiasts to demonstrate their problem-solving skills and contribute to our global community.

Current Challenges: Awaiting Solutions

Problem 1613: Square, Ratio 2:1, and the 53/2 Degree Angle Challenge
Problem 1612: Perpendicular Medians and Squares of Sides
Problem 1611: Angle Calculation in Equilateral Triangle
Problem 1610: Area of Curvilinear Triangle in Rhombus
Problem 1609: Radius of a Semicircle Tangent to Two Sides of a Triangle
Problem 1585: Triangle's Incircle and Harmonious Convergence
Problem 1584: Proving a Ratio Involving Incircle and Angle Bisector
Problem 1583: Prove Lines CK and BL are Parallel
Problem 1577: Triangle ABC (20-30-40 Degrees), Sum of Segments
Problem 1575: Angle Bisector, Altitude, Midpoint, and Excircle
Problem 1552: Angle C in Triangle ABC with Auxiliary Line
Problem 1475: Clifford Intersecting Circles Theorem
Problem 1473: Kosnita's Theorem and Concurrent Lines
Problem 1471: Equilateral Triangle, Incenters, Tangency and Concurrency
Problem 1470: Tangential Quadrilateral and Rhombus
Problem 1462: Newton-Gauss Line, Complete Quadrilateral
Problem 1460: Newton-Gauss Line and Collinear Points
Problem 1458: Triangle, Incircles, Excircle and Area
Problem 1451: Orthopole of a Line and Triangle
Problem 1450: Ortholine, Steiner Line, Complete Quadrilateral
Problem 1449: Salmon Line Illustration
Problem 1444: Asymmetric Propeller Theorem
Problem 1437: Intersecting Circles, Common Tangent, Equal Product
Problem 1435: Circle, Diameter, Tangent and Parallelogram
Problem 1434: Equilateral Triangle and Tangent Circles
Problem 1431: Apollonius LLC, Triangle, Circumcircle and Congruent Angle
Problem 1417: Triangle, Cevian, Incenter and Angle Bisector
Problem 1401: Right Triangle, Circles and Isosceles Properties
Problem 1396: Triangle with Rectangles, Perpendicular Concurrency
Problem 1385: Triangle, Orthocenter, Bisector and Collinear Points
Problem 1376: Isosceles Triangle, Interior Cevian, Excircles and Parallel Lines
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