Thales's theorem — construct a right triangle

Thales's theorem — construct a right triangle

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Choose the correct construction of a right triangle over the hypotenuse AB.

Given: c = AB = 6 cm

What does the generator do?

The generator offers four constructions. Only one has a circle centred at the midpoint of AB with radius |AB|/2 and point C on it — that is the correct Thales construction.

How to solve

Look for the circle whose diameter is exactly the hypotenuse AB (centre at the midpoint of AB). Point C must lie on this circle for a right angle to appear.

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