use the centroid theorem to find segment lengths€¦ · use the centroid theorem to find segment...
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5.3 Notes Medians, Centroids, and Altitudes of Triangle
Use the Centroid Theorem to find segment lengths
median of a triangle -
centroid of a triangle-
The centroid of a triangle is located _____________________________________ from each vertex to
the midpoint of the opposite side.
Example 1 Using the Centroid to Find Segment Lengths
In Δ ABC, AF = 9, and GE = 2.4. Find each length.
a) AG
b) CE
Now you try…
In Δ JKL, ZW = 7, and LX =8.1.
Find KW and LZ.
Altitudes
Draw an altitude of the triangle. Definition of an Altitude:
Partner Practice!
Use the diagram shown and the given information to decide in each case whether EG is a
perpendicular bisector, an angle bisector, a median, or an altitude of DEF .
3. DG FG
4. EG DF
5. DEG FEG
6. EG DF and DG FG
7. DGE FGE
8. Is the median to the base of an isosceles triangle also an altitude? Explain your reasoning.
A
B
D
C