Midpoint and Median P9. The midpoint of the hypotenuse of a right triangle is equidistant from the 3 vertices. P12. The length of a leg of a right triangle.

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Midpoint and Median P9. The midpoint of the hypotenuse of a right triangle is equidistant from the 3 vertices. P12. The length of a leg of a right triangle is the geometric mean between the length of its projection on the hypotenuse and the length of the hypotenuse. A M C B

Median – line segment from a vertex to the midpoint of the opposite side C B Altitude – line segment from a vertex that intersects the opposite side at a right angle. A H C B

Three elements at play in defining median, perpendicular bisector and altitude. It is drawn from the vertex It is drawn to the midpoint of the opposite side It is perpendicular to the opposite side MEDIAN ALTITUDE Perpendicular Bisector Drawn from Vertex Drawn to Midpoint of opposite side Perpendicular to opposite side 

MEDIAN Altitude Drawn from Vertex Drawn to Midpoint of opposite side Perpendicular to opposite side MEDIAN Altitude Perpendicular bisector