Question

Prove the angle inscribed in a
semicircle is a right angle
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Answer 1

THEOREM. Suppose that ACB in the coordinate plane is inscribed in a semicircle; in other words, if X is the midpoint of the segment [AB] then all three points A, B, C are equidistant from X. Then ACB is a right angle. r = |a − x| = |b − x| = |c − x| ....