5.4 Medians and Altitudes (2).notebook
January 31, 2017
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Chapter 5
RELATIONSHIPS WITHIN
TRIANGLES
section 5.4 ­ Medians and Altitudes in Triangles
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5.4 Medians and Altitudes (2).notebook
January 31, 2017
AT is perpendicular to BC
m< BTA= 90o, m <CTA = 90o
How do we make the altitude of a triangle?
• Draw an ACUTE triangle on the patty paper
• Label the vertices A, B and C
• Fold your triangle so that line BC stays on top of
itself and until angle A is being folded right on the
vertex.
• Trace the crease that was made --- this is your
altitude
How many altitudes does one triangle have?
orthocenter
N/A
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5.4 Medians and Altitudes (2).notebook
January 31, 2017
BM = CM
MC = 1/2 BC
BM = 1/2 BC
BC = 2MC
BC = 2BM
How do we make the median of a triangle?
• Draw an ACUTE triangle on the patty paper
• Label the vertices A, B and C
• Measure the length of side BC.
• Find the midpoint, by dividing BC in 2
• Draw a line from vertex A to the midpoint --- this is
your median
How many medians does one triangle have?
Centroid
vertex ­> centroid = 2/3 median
centroid ­> side = 1/3 median
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