Antonio Gutierrez

@gogeometry I demonstrate for one side. The other is equivalent.

🏺 Machu Picchu Mystery: Problem 1618 🏛️ A new challenge is live! 📐 Semicircle meets multiple incircles in this "Sacred Geometry" configuration. Be the first to solve it! 🧠✨ 👇 The Challenge: gogeometry.com/school-college… #Geometry #MathChat #MachuPicchu #STEM #GoGeometry

THE CHALLENGE 1617: FIND FJ 🎯 A concyclic hexagon emerges from intersecting circles. Will you reach the value via Similarity, Radical Axes, or Harmonic Ratios ...? Explore details:👉 gogeometry.com/problem1617.ht… #Geometry #MathChat #GoGeometry #STEM #ProblemSolving

Can you find the missing segment? 🔍📐 Problem 1616: Pure synthetic geometry. No coordinates—just logic, circle, and triangles. One auxiliary line reveals the harmony. Can you see it? Full problem here: gogeometry.com/school-college… #Geometry #Math #GoGeometry #STEM #ProblemSolving

Problem 1615: How can the sum of these areas stay constant for ANY point P? Prove: S1 + S3 = S2 + S4 = 0.5 * Area(ABCD). Check the full theorem: gogeometry.com/school-college… #MathPuzzle #GeometryChallenge #Education #GoGeometry

Geometric Challenge: Problem 1614 📐✨ Prove this area equivalence in a semicircle using pure synthetic geometry! Can you find the "Aha!" moment without coordinates? 🧠 Details and hints here: 🔗 gogeometry.com/school-college… #Geometry #Math #GoGeometry #STEM #Education

@gogeometry Sorry there was an error in previous post.

New Geometry Challenge! 📐✨ Square ABCD. Ratio 2:1. Angle 53/2°. Your mission: Prove angle BCE = 45° using pure synthetic logic! 🧠🔥 Full statement & hints here: 🔗 gogeometry.com/school-college… #GoGeometry #Math #Geometry #ProblemSolving #STEM

@gogeometry All I have for now is an algebraic proof.

@steph_bernard69 You are correct. Precision is key. While 53/2° is the classical shorthand used in many geometric traditions, the value is indeed arctan(1/2) ≈ 26.565°. In this problem, the structural relationship (the 1:2 ratio) is what matters most for the synthetic proof. Great observation!

@gogeometry it isn't 53/2 = 26.5. The tangent of the given angle must be 1/2 so it is rather 26.56505..

@gogeometry Proof...

@gogeometry @emreorhangeo Proof is completed

Geometry Challenge 1612 📐 If two medians of a triangle are perpendicular, what is the relationship between its sides? Discover the theorem and share your synthetic proof! ✍️ 🔗 gogeometry.com/school-college… #Geometry #Math #MathEd #GoGeometry #MathTwitter #ProblemSolving #MathEd

The Resource 🌐 All 10 problems—complete with elite-level visual diagrams—are hosted here: 🔗 gogeometry.com/math_geometry_… Bookmark this link. You’ll need it for your next study session or lesson plan. 📌 #Math #Geometry #STEM #Education #GoGeometry