Prove-that-the-perpendiculars-dropped-from-the-midpoints-of-the-sides-of-a-cyclic-quadrilateral-to-the-opposite-sides-are-concurrent-

Tinku Tara June 4, 2023 Geometry 0 Comments

Question Number 16075 by Tinkutara last updated on 17/Jun/17

Prove that the perpendiculars dropped from the midpoints of the sides of a cyclic quadrilateral to the opposite sides are concurrent.

$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{the}\:\mathrm{perpendiculars} \\ $$$$\mathrm{dropped}\:\mathrm{from}\:\mathrm{the}\:\mathrm{midpoints}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sides} \\ $$$$\mathrm{of}\:\mathrm{a}\:\mathrm{cyclic}\:\mathrm{quadrilateral}\:\mathrm{to}\:\mathrm{the}\:\mathrm{opposite} \\ $$$$\mathrm{sides}\:\mathrm{are}\:\mathrm{concurrent}. \\ $$

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Prove-that-the-perpendiculars-dropped-from-the-midpoints-of-the-sides-of-a-cyclic-quadrilateral-to-the-opposite-sides-are-concurrent-

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