The Theorem of Thales

Task

Construct an interactive visualization of the Theorem of Thales that consists of a triangle inscribed into a semicircle, with one side being the diameter of the circle.

Question

What did the Greek philosopher and mathematician Thales find out about a triangle inscribed in a semicircle, about 2600 years ago? Hint: Use your interactive construction to explore the theorem.

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A
The inscribed triangle is always an isosceles triangle.
B
The inscribed triangle is always an arbitrary triangle.
C
The inscribed triangle is always an obtuse triangle.
D
The inscribed triangle is always a right triangle.

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