Prove that the perpendiculars from the vertices of a triangle to the opposite sides (extended if necessary) meet in a point (the orthocenter of the triangle).

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Prove that the perpendiculars from the vertices of a triangle to the opposite sides (extended if necessary) meet in a point (the orthocenter of the triangle).

Prove that the perpendiculars from the vertices of a triangle to the opposite sides (extended if necessary) meet in a point (the orthocenter of the triangle).

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Prove that the perpendiculars from the vertices of a triangle to the opposite sides (extended if necessary) meet in a point (the orthocenter of the triangle).

Prove that the perpendiculars from the vertices of a triangle to the opposite sides (extended if necessary) meet in a point (the orthocenter of the triangle).

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