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Worksheets

Special Right Triangles

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
2.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
3.

In this isosceles triangle, what is the length of x?

a)

8√2

b)

82\frac{8}{\sqrt{2}}

c)

16

d)

8

4.

Which is the length of v in this 30-60-90 triangle?

a)

434\sqrt{3}

b)

4

c)

8

d)

424\sqrt{2}

5.

What is the length of the short leg of this 30-60-90 triangle?

a)

6

b)

63\frac{6}{\sqrt{3}}

c)

3

d)

62\frac{6}{\sqrt{2}}

6.

In this 30-60-90 triangle, what is the length of the hypotenuse?

a)

4√2

b)

4√3

c)

4

d)

8

7.

In this 30-60-90 triangle, what is the length of the long leg?

a)

6√2

b)

3√3

c)

12

d)

6√3

8.

What is x in this 30-60-90 triangle?

a)

x = 6

b)

x = 3√2

c)

x = 3√3

d)

x = 3√3

9.

What is a in this 30-60-90 triangle?

a)

a = 7√3

b)

a = 7√2

c)

a = 14

d)

a = 14√3

10.
Find x.
a)
10
b)
10√3
c)
10√2
d)
20
11.
Find x.
a)
22
b)
11√3
c)
11√2
d)
11
12.
Find a.
a)
12
b)
24
c)
24√3
d)
16
13.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
14.

What is the length of x in this picture?

a)

45

b)

5√2

c)

90

d)

5

15.

What is the length of y in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

16.

What is y in this 30-60-90 triangle?

a)

y=6y=6

b)

y=32y=3\sqrt{2}

c)

y=33y=3\sqrt{3}

d)

y=33y=\frac{3}{\sqrt{3}}

17.

What is b in this 30-60-90 triangle?

a)

b=3.5√3

b)

b = 3.5

c)

b = 7

d)

b = 7√3

18.

What is the measure of side b?

a)

5

b)

10√2

c)

102\frac{10}{\sqrt{2}}

d)

10√3

19.

What is the length of x in this triangle?

a)

14

b)

737\sqrt{3}

c)

3.5

d)

143\frac{14}{\sqrt{3}}

20.

What is the length of y in this triangle?

a)

14

b)

737\sqrt{3}

c)

3.5

d)

73\frac{7}{\sqrt{3}}