Geo 4.3: Isosceles and Equilateral Triangles
Given ∆ABC, find the 
value of x and
the length of side
AC
x = 
AC = 
A
2x + 8 
4x - 3
B
4x - 4
C
Use the information in the diagram to 
find the measure ∡A & ∡B
A
C
m∡A=
D
24o
m∡B=
76o
B
E
Use the information in the diagram to find the value
of x. Then find the measure ∡C.
x =
B
m∡C=
C
A
(7x - 3)o
Find the measure ∡B, the value of x, and
the length of CA
m∡B=
CA =
x =
(½x + 6)
B
(2x)
C
(2x)
A
Solve for x.
3
4
x  - 4 = 14
x =
Given ∆ABC, find the value of x andthe measure of angle B
m∡B = 
x = 
A
(3x + 4)o
B
(6x - 20)o
2x - 3
C
Solve for x.
-2x2  = -3x2 + 144
x =
Find the missing angle measures for ∡1 & ∡2
m∡1 =
m∡2 =
37o
o
o
1
77o
2
Find the measure ∡B, the value of x, and
the length of BA
m∡B=
BA =
x =
(3x + 3)
B
C
(5x -17)
A
A
Find the measure of angle E and angle A.
B
m∡A = 
C
º
m∡E = 
D
E
º
Given the two triangles find the measure of the missing angles. 
48o
m∡DEB = 
m∡B = 
º
º
The perimeter of the equilateral ∆FGH = 27 in. Find the value of x. 
x = 
2x + 1
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