From 24 and 7 to r = 20 — A Beautiful Geometry Construction!
Автор: JustFunAcademy
Загружено: 2026-02-20
Просмотров: 154
Описание:
We’re given a quadrant of a circle.
Inside the quadrant:
• AB = 24
• BC = 7
And we’re asked to find the radius.
At first, it looks impossible.
But once we extend the quadrant to a semicircle and carefully follow the geometry, everything falls into place — including a surprising 24-7-25 triangle and a clean diameter of 40.
In this video we:
• Extend the quadrant strategically
• Use Pythagorean theorem twice
• Apply symmetry
• Reveal why the construction works
Pause the video and try solving it before watching the full solution.
💬 Comment: Why does the extension hit the circle exactly where it needs to?
👍 Like the video if you enjoy geometry puzzles
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