Question

State and prove Thales theorem.​

Answer 1

Answer:

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°).

Step-by-step explanation:

1. To prove the Thales theorem, draw a perpendicular bisector of ∠

2. Let point M be the midpoint point of line AC.

3. Also let ∠MBA = ∠BAM = β and ∠MBC =∠BCM =α

4. Line AM = MB = MC = the radius of the circle.

5. ΔAMB and ΔMCB are isosceles triangles.