Transcript Lesson 5.3

Bellringer
• Find the value of x.
1.
2.
x
12
x= 6
3x
5x+4
x=4
5-3 Concurrent
Lines, Medians,
and Altitudes.
Median: a segment whose endpoints are a vertex
and the midpoint of the opposite side
Altitude: the perpendicular segment from the
vertex to the line containing the opposite side.
Acute Triangles
Right Triangles
Obtuse Triangles
3. Medians: Centroid
Theorem 5-8: The medians of a triangle
are concurrent at a point that is two
thirds the distance from each vertex to
the midpoint of the opposite.
*The longer segment is
between the vertex and the
centroid.
2
GC  DC
3
1
DG  DC
3
2
BG  BF
3
1
GF  BF
3
2
AG  AE
3
1
GE  AE
3
1
DE  BE
3
1
6  BE
3
3
3 1
 6   BE
1
1 3
18  BE
1
DH  BH
3
1
DH   4.5
3
DH  1.5
2 x  1  3x  5
 3 x  1  3 x  1
 x 6

1 1
x6
Classwork
• Pg 260-261 # 11-16, 19-22 and
worksheet 5-3