5.3 Medians &amp; Altitudes

# 5.3 Medians & Altitudes - • Example: If MX=4, find MB...

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5.3 Medians & Altitudes of a Pg 279

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Median of a triangle Median of a triangle- segment whose endpts are a vertex of a triangle and the midpt of the opposite side. The three medians of a triangle are ALWAYS concurrent! Seg AM is a median of ABC A B C M
Centroid Centroid- the pt of concurrency of the 3 medians of a triangle (i.e. pt. X) The centroid is always inside the triangle The centroid is also the balancing point of the triangle. M A O X B N C

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Thm 5.7 Concurrency of Medians of a The medians of a triangle intersect at a pt that is 2/3 of the distance from each vertex to the midpt of the opposite side. (i.e. AX=2/3 AN)

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Unformatted text preview: • Example: If MX=4, find MB and XB • XB=2/3 MB ∴ XM=1/3 MB • So, MB=12 and XB=8 A O B X N M C Example Find the coordinates of the centroid of the triangle with vertices L(3,6) K(5,2) J(7,10). (Hint: graph it 1 st !) • (5,6) Altitude of a triangle • Altitude of a triangle-the ⊥ seg form a vertex to the opposite side of the line that contains the opposite side. _ _ Orthocenter • Orthocenter- the lines containing the three altitudes of a triangle are concurrent, pt of concurrency is the orthocenter orthocenter Assignment Assignment...
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## This note was uploaded on 02/12/2011 for the course MTG 3212 taught by Professor Jackson during the Spring '11 term at University of Florida.

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5.3 Medians & Altitudes - • Example: If MX=4, find MB...

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