Thales' Theorem

Learn what Thales’ Theorem is and how it helps you find missing angles on a circle quickly. Let’s get started! 🚀

Thales' Theorem - introduction visual

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Explanation of Thales's Theorem with a diagram showing a right-angled triangle formed by a diameter and any point on a semicircle.Diagram for Thales' theorem with triangle inscribed in a semicircle, showing a right angle at point C and interior angles A = 35° and B = 55°.Semicircle with diameter AB, triangle ACB showing angle ACB as 90° using Thales's theorem, with marked angles 40°, 50°, and 90°.

🛎️ Thales’ Theorem: What It Says

  • If one side of a triangle is the diameter of a circle, the opposite angle is 90°.
  • This angle is always a right angle, wherever the point is on the circle.

🛎️ Thales’ Theorem: How to Use It

  • First, find the diameter of the circle.
  • Then mark the angle opposite the diameter on the circle as 90°.

🛎️ Thales’ Theorem: Finding Other Angles

  • All angles in a triangle add up to 180°.
  • Subtract 90° and the given angle to find the missing angle.

Practice Questions

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Interactive Activity

Explore how right angles form on a semicircle

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