The feet of the altitudes of triangle A(0, 0), B(b, 0) and C(c, d) are D,
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The feet of the altitudes of triangle A(0, 0), B(b, 0) and C(c, d) are D, E and F respectively. Show that the altitudes meet at the point O(c, c(b – c)/d). Further, show that the circle through D, E and F also passes through the midpoint of each side as well as the midpoints of the lines AO, BO and CO.
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