Special Right Triangles Review
There are two special types of right triangles:
There are two special types of right triangles:
30  60  90  Triangles
60
30
There are two special types of right triangles:
30  60  90  Triangles
60
30

45  45  90  Triangles

45
45
30
What angles goes here?
45
What angle goes here?
30
45
45
Each of these triangles have their own specific pattern
30
60
Each of these triangles have their own specific pattern
30
2
√3
60
1
Drag the side lengths to the correct sides.
30
2
?
√3
?
60
1
?
Drag the side lengths to the correct sides.
30
8
?
4√3
?
60
4
?
Drag the side lengths to the correct sides.
30
10
?
5√3
?
60
5
?
Drag the side lengths to the correct sides.
6
?
60
6√3
?
12
?
30
A 45-45-90 triangle also has its own unique pattern
45
√2
1
45
1
Drag the side lengths to the correct sides.
45
√2
?
1
45
1
?
Drag the side lengths to the correct sides.
45
5√2
?
5
45
5
?
Drag the side lengths to the correct sides.
45
9√2
?
9
45
9
?
Drag the side lengths to the correct sides.
8
45
8
?
8√2
?
45
Which side is opposite the 30º angle?
30

c

a

60

b
side a

side b

side c

Side c is opposite which angle?
30

c

a

60

b
30

60

90

45

60
(2)
?
(1)
?
30
(√3)
?
Drag the side lengths
to the correct sides.
2
60
1
30
√3
Drag the side lengths
to the correct sides.
(1)
?
60
(√3)
?
(2)
?
2
60
1
30
√3
30
60
12
?
6
?
30
6√3
?
Drag the side lengths
to the correct sides.
2
60
1
30
√3
Enter the value of "x", "y" and "z" in the special right triangle.
60
z
y
x
4√3
y = 
z = 
x = 
º
Enter the value of "x", "y" and "z" in the special right triangle.
y
45º
z
14√2
x
x = 
y = 
z = 
º
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