Use Medians and Altitudes

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Date: Sec 5-4 Concept: Medians and Altitudes of a Triangle

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Presentation transcript:

Use Medians and Altitudes Chapter 5.4

What is a median? A median is a line that connects a midpoint with a vertex in a triangle. If you draw all 3 medians, they will intersect at a point called the centroid. midpoint centroid vertex

Another Special Relationship

Assume Q is a centroid, what are the lengths of QW and SW? 6

Assume Q is a centroid. How many sides can you figure out? SW =18 7 15 10

Graphing medians and centroids Recall that the midpoint formula is: Find the midpoint of each side of the triangle and connect the midpoint to the opposite vertex. The centroid will be the point of intersection.

What is the coordinate of the centroid? (4, 8) (8, 4) (2, 0)

What is the coordinate of the centroid? (5, 9) (3, 5) (7, 1)

Page 322 #3 – 10, 33 - 35

What is an altitude? The altitude of a triangle is really the height. To find the height, you drop a perpendicular line from a vertex to the opposite side of a triangle. All 3 altitudes intersect at the point of concurrency called the orthocenter.

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