6

Part of 1991 IberoAmerican

Problems(1)

Construction given midpoints and orthocenter

Source: Ibero-American Olympiad 1991, Problem 6

M

N

P

be three non-collinear points. Construct using straight edge and compass a triangle for which

M

N

are the midpoints of two of its sides, and

P

is its orthocenter.

geometrycircumcirclequadraticsparallelogramalgebrageometry proposed