Showing posts with label isosceles. Show all posts
Showing posts with label isosceles. Show all posts

Saturday, September 6, 2025

Geometry Problem 1605: Triangle, Angle Bisector, and Circumcircle

Challenging Geometry Problem 1605. 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 1605

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Wednesday, September 4, 2024

Geometry Problem 1580: 60-Degree Triangle Challenge: Find AD with Excenter and Circumcircle Clues!

Challenging Geometry Puzzle: Problem 1580. 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 1580

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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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Friday, July 26, 2024

geometry Problem 1569: Prove the Length of EG Equals the Diameter of the Incircle of Triangle BDE in Isosceles Triangle ABC

Challenging Geometry Puzzle: Problem 1569. 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 1569

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Geometry Problem 1567: Finding Tangent Distances in a Circumscribed Isosceles Trapezoid

Challenging Geometry Puzzle: Problem 1567. 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 1567

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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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Monday, May 15, 2023

Geometry Problem 1539: Unraveling the Lengths in an Isosceles Triangle with Altitude and Tangent Secrets!

Geometry Problem 1539. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

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Geometry Problem 1539: Unraveling the Lengths in an Isosceles Triangle with Altitude and Tangent Secrets

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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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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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Friday, March 10, 2023

Geometry Problem 1524: Unlock the Mystery of Parallelograms: Discover the Length of Segment between the Intersecting Angle Bisectors. Difficulty Level: High School.

Geometry Problem 1524. 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 1524: Unlock the Mystery of Parallelograms: Discover the Length of Segment between the Intersecting Angle Bisectors.

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Wednesday, March 8, 2023

Geometry Problem 1523: Discover How to Calculate the Length of the Altitude in an Isosceles Triangle

Geometry Problem 1523. 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 1523: Discover How to Calculate the Length of the Altitude in an Isosceles Triangle.

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Saturday, February 25, 2023

Geometry Problem 1513: Solving the base in a Right Trapezoid with Double Angle and Sum of Two Sides. Difficulty Level: High School.

Geometry Problem 1513. 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 1513: Solving the base in a Right Trapezoid with Double Angle and Sum of Two Sides. Difficulty Level: High School.

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Thursday, February 23, 2023

Geometry Problem 1511: Finding the Altitude of an Isosceles Triangle Using Distances from a Point on the Extension of the Base. Difficulty Level: High School.

Geometry Problem 1511. 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 1511: Finding the Altitude of an Isosceles Triangle Using Distances from a Point on the Extension of the Base. 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.

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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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

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Saturday, September 17, 2022

Geometry Problem 1497: Scalene Triangle, Transversal, Same Ratio, Proportionality, Isosceles, Double Angle

Geometry Problem 1497. 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 1497: Scalene Triangle, Transversal, Same Ratio, Proportionality, Isosceles, Double Angle

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Saturday, February 23, 2019

Geometry Problem 1415: Right Triangle, Altitude, Incircle, Excircle, Tangency Points, Isosceles 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 1415: Right Triangle, Altitude, Incircle, Excircle, Tangency Points, Isosceles Triangle, Tutoring.

Geometry Problem 1414: Right Triangle, Altitude, Incircle, Excircle, Tangency Points, Isosceles 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 1414: Right Triangle, Altitude, Incircle, Excircle, Tangency Points, Isosceles Triangle, Tutoring.

Geometry Problem 1413: Right Triangle, Incircle, Excircle, Tangency Points, Isosceles Right 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 1413: Right Triangle, Incircle, Excircle, Tangency Points, Isosceles Right Triangle, Tutoring.

Sunday, January 6, 2019

Geometry Problem 1411: Right Triangle, Incircle, Excircle, Tangency Points, Isosceles Right 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 1411: Right Triangle, Incircle, Excircle, Tangency Points, Isosceles Right Triangle, Tutoring.