Share your proof or solution in the comments below.
Target Audience: K-12, Honors Geometry, and College Mathematics Education.
In Problem 1622, we explore a triangle with external squares on each side, forming an outer hexagon. The challenge is to prove that the sum of the squares of the six sides of the outer hexagon equals four times the sum of the squares of the original triangle's sides.
Explore the full theorem and illustrated diagram by clicking the image below.
Target Audience: K-12, Honors Geometry, and College Mathematics Education.
In Problem 1622, we explore a triangle with external squares on each side, forming an outer hexagon. The challenge is to prove that the sum of the squares of the six sides of the outer hexagon equals four times the sum of the squares of the original triangle's sides.
Explore the full theorem and illustrated diagram by clicking the image below.
Click for additional details and full diagram.
How to contribute:
Post your step-by-step proof in the comments below. Feel free to:
Post your step-by-step proof in the comments below. Feel free to:
- Describe the theorems applied.
- Share a link to your dynamic construction (GeoGebra, Desmos).
Ready to contribute?
Please use the box below to Enter your Comment or Solution. You can use plain text or provide links to your digital proofs.
Please use the box below to Enter your Comment or Solution. You can use plain text or provide links to your digital proofs.
