Your sister claims that the heights of any triangle intersect in a point that is the center of both inscribed and circumscribed circle of that triangle. Your brother thinks such triangle does not exist. Correct their statements and explain them the mistakes they made.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 4E
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Your sister claims that the heights of any triangle intersect in a point that is the center of both inscribed and circumscribed circle of that triangle. Your brother thinks such triangle does not exist. Correct their statements and explain them the mistakes they made.

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