Antonio Gutierrez retweeted
Explore Problem 1627: three tangent circles with collinear centers and curvilinear incircles. Can you prove the geometric progression & harmonic relations? 📐✨
Details: gogeometry.com/school-colleg…
#Geometry #GeoGebra #Gogeometry #Math
Antonio Gutierrez retweeted
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Antonio Gutierrez retweeted
The 1625 Twist 📐
An interior point holds a hidden code. Can you bridge the gap to find the missing altitude? ✨
gogeometry.com/school-colleg…
#Geometry #Math #MathTwitter #ProblemSolving #MathCompetition #Geogebra
Antonio Gutierrez retweeted
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Antonio Gutierrez retweeted
Replying to @gogeometry
This is quite direct with the cosinus rule and the fact that facing angles are supplementary.
Antonio Gutierrez retweeted
Can 40° & 70° angles reveal a hidden √3 identity? 📐✨
In △ABC, altitude AH connects to sides in a striking relation: AC + AH = BH·√3
Can you construct the 30°-60°-90° auxiliary proof?
Full problem, diagram & hints 👇 gogeometry.com/school-colleg…
#Geometry #Math #Geogebra
Replying to @gogeometry
1) mirror triangle ABH along AB to get triangle ABK. AK=AH=x
(BK)n(HA)=C’
2) angle C’AK=60, KC’A=30
=> AC’=2AK=2x=AC
3) C’H=AC+AH=sqrt(3)BH ( from triangle BHC’.
Replying to @gogeometry
S=pr.
p=(2c+2r)/2=c+r.
S=r(r+c).
Antonio Gutierrez retweeted
Geometry Problem 1620 📐
Perpendicular chords split a circle into 4 curvilinear regions to reveal a hidden area difference invariant!
See why curves disappear, governed only by a central rectangle.
Details & proof: gogeometry.com/school-colleg…
#Geometry #Math #MathEd #STEM
Antonio Gutierrez retweeted
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I demonstrate for one side. The other is equivalent.
Antonio Gutierrez retweeted
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.h…
#Geometry #MathChat #GoGeometry #STEM #ProblemSolving

ALT A sophisticated synthetic geometry diagram labeled "Problem 1617" featuring two large intersecting circles. A triangle ADE is inscribed within the first circle (its circumcircle). A second, larger circle intersects the first, creating a series of intersection points that form a highlighted concyclic hexagon, labeled BDEFGH. Several auxiliary lines, chords, and segments are drawn, including a specific segment FJ. The diagram uses clean, professional line work with points labeled in a clear sans-serif font, emphasizing the metric and positional relationships between the overlapping circumferences and the internal hexagon.
Antonio Gutierrez retweeted
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-colleg…
#Geometry #Math #GoGeometry #STEM #ProblemSolving
Antonio Gutierrez retweeted
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-colleg…
#Geometry #Math #GoGeometry #STEM #Education
Antonio Gutierrez retweeted
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-colleg…
#GoGeometry #Math #Geometry #ProblemSolving #STEM
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