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Medians and Altitudes of Triangles. Section 5.2 page 314-320 Guiding Question: How can a sculptor who creates mobiles use center of gravity to balance objects?. Vocabulary.
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Medians and Altitudes of Triangles Section 5.2 page 314-320 Guiding Question: How can a sculptor who creates mobiles use center of gravity to balance objects?
Vocabulary • Median of a Triangle: a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite sides (pg 314)
Centroid of a triangle: the point of concurrency of the medians of a triangle. The centroid is always the center of the triangle. • Centroid Theorem: The centroid of a triangle is located of the distance from each vertex to the midpoint of the opposite side. AP = CP = CX BP = BZ
Altitude of a Triangle: is a perpendicular segment from a vertex to the line containing the opposite side. Every triangle has three altitudes. An altitude can be inside, outside, or on the triangle. • Orthocenter of a Triangle: the point of concurrency of the three altitudes of a triangle.
