Showing posts with label cevian. Show all posts
Showing posts with label cevian. Show all posts

Sunday, April 27, 2025

Geometry Problem 1600: When Cevians Cross: Find the Missing Area

Challenging Geometry Puzzle: Problem 1600. 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 1600

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Share your solution by clicking 'Comment' below the post or entering your solution or comment in the 'Enter Comment' field and pressing 'Publish'.

Tuesday, August 6, 2024

Geometry Problem 1576: Congruency of Segments in Triangle ABC with Angles 30 and 20 Degrees and an Interior Cevian

Challenging Geometry Puzzle: Problem 1576. 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 1576

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Share your solution by clicking 'Comment' below the post or entering your solution or comment in the 'Enter Comment' field and pressing 'Publish'.

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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Share your solution by clicking 'Comment' below the post or entering your solution or comment in the 'Enter Comment' field and pressing 'Publish'.

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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To post a solution to this problem click Comment underneath the post, or click into the line that says, “Enter Comment.” Type what you want to say and press Publish to post your solution.

Friday, February 24, 2023

Geometry Problem 1512: Finding the Length of a Segment in a Triangle with a Median and a Cevian with Given Ratio. Difficulty Level: High School.

Geometry Problem 1512. 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 1512: Finding the Length of a Segment in a Triangle with a Median and a Cevian with Given Ratio. Difficulty Level: High School.

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To post a solution to this problem click Comment underneath the post, or click into the line that says, “Enter Comment.” Type what you want to say and press Publish to post your solution.

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

More Details

To post a solution to this problem click Comment underneath the post, or click into the line that says, “Enter Comment.” Type what you want to say and press Publish to post your solution.

Saturday, December 5, 2020

Geometry Problem 1490: Triangle, Cevian, Incircle, Tangent, Measurement

Geometry Problem 1490. 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 1490: Triangle, Cevian, Incircle, Tangent, Measurement

Thursday, May 7, 2020

Dynamic Geometry 1478: Reuschle-Terquem Theorem, Concurrent Cevians, Triangle, Circumcircle, Secant line, Cyclocevian, Step-by-step Illustration

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 1478: Reuschle-Terquem Theorem, Concurrent Cevians, Triangle, Circumcircle, Secant line, Cyclocevian, Step-by-step Illustration, Step-by-step Illustration, iPad.

Wednesday, March 6, 2019

Geometry Problem 1422: Triangle, Transversal, Cevian, Area, Quadrilateral, 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 1422: Triangle, Transversal, Cevian, Area, Quadrilateral, Measurement, Tutoring.

Sunday, February 24, 2019

Geometry Problem 1417: Triangle, Cevian, Circumcircle, Incenter, Perpendicular, Angle Bisector, Tangent Circles

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 1417: Triangle, Cevian, Circumcircle, Incenter, Perpendicular, Angle Bisector, Tangent Circles, Tutoring.

Saturday, August 11, 2018

Thursday, August 9, 2018

Geometry Problem 1376: Isosceles Triangle, Interior Cevian, Excircles, Tangency Points, Parallel Lines

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 1376: Isosceles Triangle, Interior Cevian, Excircles, Tangency Points, Parallel Lines.

Wednesday, August 8, 2018

Geometry Problem 1375: Isosceles Triangle, Interior Cevian, Exradius, Excircle, Altitude to the Base

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 1375: Isosceles Triangle, Interior Cevian, Exradius, Excircle, Altitude to the Base.

Typography of Geometry Problem 1374: Isosceles Triangle, Exterior Cevian, Incircle, Excircle, Tangency Points, Parallel Lines, iPad Apps

Geometric Art: Typography, iPad

Details: Click on the figure below.

Geometric Art Typography of Geometry Problem 1374: Isosceles Triangle, Exterior Cevian, Incircle, Excircle, Tangency Points, Parallel Lines, iPad Apps.

Sunday, August 5, 2018

Geometry Problem 1374: Isosceles Triangle, Exterior Cevian, Incircle, Excircle, Tangency Points, Parallel Lines

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 1374: Isosceles Triangle, Exterior Cevian, Incircle, Excircle, Tangency Points, Parallel Lines.

Saturday, August 4, 2018

Geometry Problem 1373: Isosceles Triangle, Exterior Cevian, Inradius, Exradius, Altitude to the Base

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 1373: Isosceles Triangle, Exterior Cevian, Inradius, Exradius, Altitude to the Base.

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.

Cevian Definition

Click the figure below to see the illustration.

Semicircle, Theorems and Problems.

Friday, June 30, 2017

Geometry Problem 1336: Right Triangle, Cevian, Double Angle, Perpendicular, 90 Degrees

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

This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.

Details: Click on the figure below..

Geometry Problem 1336: Right Triangle, Cevian, Double Angle, Perpendicular, 90 Degrees.

Wednesday, April 5, 2017

Geometry Problem 1326: Triangle, Cevian, Incenters, Sum of Angles, 270 Degrees

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 1326: Triangle, Cevian, Incenters, Sum of Angles, 270 Degrees.