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5-2 Medians and Altitudes N#____ ____/____/____. Median: A segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side. A. B. C. E. E1 is the median of . Find x and DF if , and . E. F.
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Median: A segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side. A B C E
E1 is the median of . Find x and DF if , and . E F D G
The point of concurrency of the medians of a triangle is called the centroid.
Centroid Theorem: The distance from the vertex to the centroid is double the distance from the side to the centroid. B F D Q A C E
E2 In , Q is the centroid and . Find BQ and QE. F B D Q E3 In , Q is the centroid and . Find QR and ZR. A C E Y R S Q Z X T
Altitude: A segment from a vertex perpendicular to the line containing the opposite side. A B C E
K E4 In , is an altitude. Find the value of y if . J L T
The point of concurrency of the altitudes of a triangle is called the orthocenter
In a right triangle each leg is also an altitude
A#____ ___/___/___ Pg 337 #’s 1, 2, 5-10, 16-20, 24, 25