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Worksheets30-60-90 Right Triangle
Total questions: 10
Worksheet time: 14mins
Name
Class
Date
1.
Find the missing length of the longer leg in each 30∘−60∘−90∘ triangle. Leave the answer in radical form: short leg = 5
a)
3√5
b)
5√3
c)
5√2
d)
15√3
2.
Find the missing length of the longer leg in each 30∘−60∘−90∘ triangle. Leave the answer in radical form: short leg = 9
a)
9√3
b)
3√3
c)
3√9
d)
27√3
3.
In a 30-60-90 triangle, if the shorter leg is 5, then the hypotenuse is _____.
a)
10
b)
9
c)
12
d)
7
4.
In a 30-60-90 triangle, if the shorter leg is x, then the hypotenuse is ___________.
a)
2x
b)
x√3
c)
x√2
d)
4x
5.
Find the missing length of the longer leg in the 30∘−60∘−90∘ triangle. short leg = 3
a)
3√3
b)
5√3
c)
3√5
d)
3√2
6.
Find the missing length of the shorter leg in each 30∘−60∘−90∘ triangle. Leave the answer in radical form: hypotenuse = 6
a)
3
b)
3√3
c)
6
d)
12
7.
What is the approximate decimal equivalent of: 4√3
a)
6.9
b)
12.3
c)
2.4
d)
7.5
8.
Find the missing length of the longer leg in the 30∘−60∘−90∘ triangle. hypotenuse = 10
a)
5√3
b)
3√5
c)
5
d)
10√3
9.
Find the missing length of the longer leg in the 30∘−60∘−90∘ triangle. hypontenuse = 8
a)
4√3
b)
3√4
c)
8√3
d)
16
10.
Find the missing length of the longer leg in the 30∘−60∘−90∘ triangle. hypotenuse = 10√3
a)
15
b)
5√3
c)
10
d)
10√3
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