Showing posts with label equilateral. Show all posts
Showing posts with label equilateral. Show all posts

Thursday, December 4, 2025

Geometry Problem 1610: Area of a Curvilinear Triangle in a Rhombus

Challenging Geometry Problem 1610. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

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Illustration of Geometry Problem 1610

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Tuesday, October 7, 2025

Geometry Problem 1607: Circle, Chords, Tangents, 60 Degree Angle

Challenging Geometry Problem 1607. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

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Illustration of Geometry Problem 1607

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Monday, December 23, 2024

Problem Geometry 1586: Unveiling a Unique Area Relationship in Equilateral Triangles

Challenging Geometry Puzzle: Problem 1586. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

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Illustration of Geometry Problem 1586

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Sunday, August 11, 2024

Geometry Problem 1577: Prove AB Equals BD Plus CD in Triangle ABC with Given Angles 20, 30, 40 Degrees and Congruent Segments

Challenging Geometry Puzzle: Problem 1577. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

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Illustration of Geometry Problem 1577

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Saturday, July 20, 2024

Challenging Geometry Puzzle: Problem 1566. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

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Illustration of Geometry Problem 1566

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Sunday, October 29, 2023

Geometry Problem 1558: Three Equilateral Triangles

Challenging Geometry Puzzle: Problem 1558. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

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Illustration of Geometry Problem 1558: Three Equilateral Triangles

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Sunday, October 22, 2023

Geometry Problem 1557: Calculate the Angle DHG in Right Triangle ABC.

Challenging Geometry Puzzle: Problem 1557. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

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Illustration of Geometry Problem 1557: Calculate the Angle DHG in Right Triangle ABC.

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Saturday, March 25, 2023

Geometry Problem 1529: Unlock the Mystery of Triangles: Solving for the Missing Angle with 100-50-30 Degree Angles and Cevian Lengths

Geometry Problem 1529. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1529: Unlock the Mystery of Triangles: Solving for the Missing Angle with 100-50-30 Degree Angles and Cevian Lengths - A High School Challenge.

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Saturday, March 11, 2023

Geometry Problem 1525: Unveiling the Secrets of an Equilateral Triangle in Right Triangle Geometry: Finding the Midpoint Distance between Segments. Difficulty Level: High School.

Geometry Problem 1525. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1525: Unveiling the Secrets of an Equilateral Triangle in Right Triangle Geometry: Finding the Midpoint Distance between Segments. Difficulty Level: High School.

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Wednesday, March 1, 2023

Geometry Problem 1516: Finding the Length of a Side in an Equiangular Hexagon with Given Three Side Lengths. Difficulty Level: High School.

Geometry Problem 1516. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1516: Finding the Length of a Side in an Equiangular Hexagon with Given Three Side Lengths. Difficulty Level: High School.

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Sunday, February 19, 2023

Geometry Problem 1508: Understanding Triangle Geometry: Isosceles, Equilateral, Quadrilateral, Angular. Difficulty Level: High School.

Geometry Problem 1508. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1508: Understanding Triangle Geometry: Isosceles, Equilateral, Quadrilateral, Angular. Difficulty Level: High School.

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Friday, October 14, 2022

Geometry Problem 1499: Triangle, Angles, Cevian, Congruence, Isosceles, Equilateral, Auxiliary Construction

Geometry Problem 1499. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1499: Triangle, Angles, Cevian, Congruence, Isosceles, Equilateral, Auxiliary Construction

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Tuesday, April 21, 2020

Geometry Problem 1471: Equilateral Triangle, Inside/Outside Point, Incenters, Tangency Points, Concurrent Lines

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry Problem 1471: Equilateral Triangle, Inside/Outside Point, Incenters, Tangency Points, Concurrent Lines, Step-by-step Illustration, iPad.

Wednesday, November 6, 2019

Dynamic Geometry Problem 1444: The Asymmetric Propeller Theorem, Equilateral Triangles

Geometry Problem, GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry Problem 1444: The Asymmetric Propeller Theorem, Equilateral Triangles, Midpoints. Using GeoGebra.

Saturday, May 18, 2019

Geometry Problem 1434: Equilateral Triangle, Tangent Circles, Tangent Lines, Arithmetic Mean, Measurement

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1434: Equilateral Triangle, Tangent Circles, Tangent Lines, Arithmetic Mean, Measurement, Tutoring.

Wednesday, August 1, 2018

Geometry Problem 1372: Equilateral Triangle, Exterior Cevian, Inradius, Exradius, Altitude, Sketch, iPad Apps

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1372: Equilateral Triangle, Exterior Cevian, Inradius, Exradius, Altitude, Sketch, iPad Apps.

Saturday, July 28, 2018

Etching and Typography of Geometry Problem 1367: Equilic Quadrilateral, 120 Degrees, Congruence, Midpoint, Diagonal, Equilateral Triangle, iPad Apps

Geometric Art: Typography, iPad

Details: Click on the figure below.

Etching and Typography of Geometry Problem 1367: Equilic Quadrilateral, 120 Degrees, Congruence, Midpoint, Diagonal, Equilateral Triangle, iPad Apps.

Geometry Problem 1370: Equilic Quadrilateral, 120 Degrees, Congruence, Midpoint, Diagonal, Equilateral Triangle

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1370: Equilic Quadrilateral, 120 Degrees, Congruence, Midpoint, Diagonal, Equilateral Triangle.

Geometry Problem 1368: Equilic Quadrilateral, 120 Degrees, Congruence, Midpoint, Diagonal, Equilateral Triangle

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1368: Equilic Quadrilateral, 120 Degrees, Congruence, Midpoint, Diagonal, Equilateral Triangle.