In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ∠ ABC is a right angle. Thales's theorem is a special case of …

Definition of Thales theorem - the diameter of a circle always subtends a right angle to any point on the circle.

Theorem Thales' theorem: If a triangle is inscribed inside a circle, where one side of the triangle is the diameter of the circle, then the angle opposite to that side is a right angle. The converse of …

The Thales theorem states that: If three points A, B, and C lie on the circumference of a circle, whereby the line AC is the diameter of the circle, then the angle ∠ABC is a right angle (90°).

Thales' Theorem states that any triangle formed with a circle's diameter as one side is always a right-angled triangle. Learn how to apply Thales' Theorem with clear, step-by-step examples.

This theorem has many uses in geometry because it helps introduce right angles into problems; however, the name of the theorem is not well-known. Thus, you may cite the "universal fact" …

Here, we will look at a more detailed explanation of Thales’ theorem. Also, we will learn how to prove this theorem and use it to solve some practice examples.

Thale's Theorem Thales’ Theorem states that if a triangle is inscribed in a circle where one of its sides is the diameter of the circle, then the angle opposite this side is a right angle (90 degrees).

One way of formulating Thales's theorem is: if the center of a triangle's circumcircle lies on the triangle then the triangle is right, and the center of its circumcircle lies on its hypotenuse.

Thales’ theorem states the following: If 𝐴, 𝐵, and 𝐶 are three distinct points on a circle, and 𝐴𝐵 is a diameter of the circle, then ∠𝐴𝐶𝐵 is right.