Find the missing side lengths. Leave your answers as radicals in ...

Kuta Software - Infinite Geometry

Name___________________________________

Special Right Triangles

Date________________ Period____

Find the missing side lengths. Leave your answers as radicals in simplest form.

1)

2)

b

2 2

45¡ã

4

a

45¡ã

x

y

3)

4)

3 2 45¡ã

2

45¡ã

x

x

3 2

y

y

5)

6)

2 6

45¡ã

6

y

45¡ã

y

x

x

7)

8)

x

y

u

2

60¡ã

30¡ã

16

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v

-1-

Worksheet by Kuta Software LLC

9)

10)

v

8 5

60¡ã

8

y

60¡ã

u

11)

x

12)

x

10

5 3

x

60¡ã

60¡ã

y

y

13)

14)

u

y

v

45¡ã

8 2

12

x

30¡ã

15)

16)

11 3

a

b

30¡ã

60¡ã

b

a

3

17)

18)

7

2 2

m

a

45¡ã

n

60¡ã

b

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-2-

Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry

Name___________________________________

Special Right Triangles

Date________________ Period____

Find the missing side lengths. Leave your answers as radicals in simplest form.

1)

2)

b

2 2

45¡ã

4

a

45¡ã

x

y

a = 4, b = 2 2

3)

x = 2 2, y = 2 2

4)

3 2 45¡ã

2

45¡ã

x

x

3 2

y

x = 3, y =

y

x = 6, y = 3 2

3 2

2

5)

6)

2 6

45¡ã

6

y

45¡ã

y

x

x

x = 2 3, y = 2 3

x = 3 2, y = 3 2

7)

8)

x

y

u

2

60¡ã

30¡ã

16

v

x = 8 3, y = 8

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u = 4, v = 2 3

-1-

Worksheet by Kuta Software LLC

9)

10)

v

8 5

60¡ã

8

y

60¡ã

u

x = 4 15, y = 4 5

u = 16, v = 8 3

11)

x

12)

x

10

5 3

x

60¡ã

60¡ã

y

y

x = 10, y = 5

x = 5 3, y = 5

13)

14)

u

y

v

45¡ã

8 2

12

x

30¡ã

u = 8, v = 8

x = 8 3, y = 4 3

15)

16)

11 3

a

b

30¡ã

60¡ã

a=

b

a

3

3 3

3

, b=

2

2

17)

a = 22, b = 11

18)

7

2 2

m

a

45¡ã

n

60¡ã

b

a=

6, b =

m=

2

7 2

7 2

, n=

2

2

Create your own worksheets like this one with Infinite Geometry. Free trial available at

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-2-

Worksheet by Kuta Software LLC

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