3.6 Isosceles and Equilateral Triangles
Isosceles Triangle Theorem
(and vise versa)
I CAN...
Apply properties of isosceles and equilateral triangles to solve algebraic problems Jul 24­9:36 AM
Jul 24­9:36 AM
Equilateral Triangle
Find the value of x and y.
D
(and vise versa)
B
6y + 3
(4x ­ 8)
E
8y ­ 5
(4x ­ 8)
F
C
A
Jul 24­9:36 AM
Jul 24­9:36 AM
Find the value of x and y.
Special Segments
B
Equilateral Triangle
Perpendicular Bisector
Angle Bisector
8 in
Altitude
Median
(3x)
C
A
(2y ­ 6) in
Jul 24­9:36 AM
All four special segments are the same in an equilateral triangle.
Jul 24­9:36 AM
1
Special Segments
BD is an angle bisector of equilateral ABC.
B
Perpendicular Bisector Angle Bisector
Find the following:
Altitude Median
x =
Isosceles Triangle
y =
AC =
(5y + 10)
A
8x ­ 6 D 6x + 14
(3y)
C
m BDC =
m BCD =
m CBD = Are all four the same?
Jul 24­9:36 AM
Jul 24­9:36 AM
~
EH is a median of isosceles ABC with EG = EF.
E
Find the following:
x =
y =
3y ­ 7
8y ­ 32
EG =
m EHF =
m EFH =
(x+8)
(3x ­ 6)
G
H
F
Jul 24­9:36 AM
2