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Geo 8.1: Special Right Triangles 30-60-90
Contributed by: DiLaura
What is the ratio of the side lengths of a 30-60-90 right triangle?
30
x : x√3 : 2x
x : 2x : 3x
x : x : x√2
x : x√2 : 2x
60
Drag the labels to their correct sides of this triangle. 
30
hypotenuse
?
long leg
?
60
short leg
?
Drag the angle measures to their correct vertices based
off the information given in the diagram.
30˚
?
hypotenuse
long leg
not used: 
90˚
?
60˚
?
short leg
45˚
?
Drag the lengths to their correct sides based on theinformation given.
30
10
?
5√3
?
not used: 
60
5
3√5
?
Drag the lengths to their correct sides based on theinformation given.
30
19
9.5√3
?
not used: 
60
19√3
?
9.5
?
x = 
y = 
Find the value of x and y. Round your 
answer to the nearest tenth.
y
x
60o
9
x = 
y = 
Find the value of x and y. Round your 
answer to the nearest tenth.
6
x
60o
y
y =
x =
Find the value of x and y. Round your 
answer to the nearest tenth.
x
16
60o
y
x = 
y = 
Find the value of x and y. Round your 
answer to the nearest tenth.
x
11√3
60o
y
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