Special Right Triangles Practice - LCPS

[Pages:4]Geometry

Name___________________________________ ID: 1

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Special Right Triangles Practice

Date________________ Period____

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

1)

2)

45? x y

26

A) x = 4 3, y = 2 6 B) x = 2 6, y = 3 2 C) x = 2 6, y = 2 6 D) x = 4 3, y = 3 2

3 u

45?

v

A) u = 3, v = 3

36 36

B) u = , v =

2

2

32 C) u = 6, v =

4

32 32

D) u = , v =

2

2

3)

v 60?

u 22

4)

42

60?

y

x

32 A) u = , v = 2

2

B) u = 6, v = 2

32 C) u = 2, v =

2

32

6

D) u = , v =

2

3

86 A) x = , y = 8 3

3

86 B) x = , y = 4 6

3

C) x = 8 2, y = 4 6

86 D) x = 4 6, y =

3

5)

a b

45? 3

6)

2

y 45? x

7)

a 7

30?

b

Worksheet by Kuta Software LLC

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8)

x

43

60? y

10)

9

45?

v

u

12)

3

u 30? v

14)

60? n

6 m

16)

x

y 45?

42

18)

30? 25

m

n

20)

93

2

n

30?

m

9)

30?

x

y

2

11)

v

u 30?

53

13)

9

y 60?

x

15)

v 30?

u

10 3 3

17)

x y

45? 52

19)

2

2

45?

v

u

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Worksheet by Kuta Software LLC

Geometry

Name___________________________________ ID: 1

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Special Right Triangles Practice

Date________________ Period____

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

1)

2)

45? x y

26

*A) x = 4 3, y = 2 6 B) x = 2 6, y = 3 2 C) x = 2 6, y = 2 6 D) x = 4 3, y = 3 2

3 u

45?

v

A) u = 3, v = 3

36 36

B) u = , v =

2

2

32 C) u = 6, v =

4

32 32

*D) u = , v =

2

2

3)

v 60?

u 22

4)

42

60?

y

x

32 A) u = , v = 2

2

*B) u = 6, v = 2

32 C) u = 2, v =

2

32

6

D) u = , v =

2

3

86 A) x = , y = 8 3

3

86 B) x = , y = 4 6

3

*C) x = 8 2, y = 4 6

86 D) x = 4 6, y =

3

5)

a b

45? 3

a = 3 2, b = 3

6)

2

y

45?

x

x = 2 2, y = 2

7)

a 7

30?

b

a = 14, b = 7 3

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Worksheet by Kuta Software LLC

8)

x

43

60? y

x = 8, y = 4

10)

9

45?

v

u

92 92

u= , v=

2

2

12)

3

u 30? v

u = 2 3, v = 3

14)

60? n

6 m

m = 3 3, n = 3

16)

x

y 45?

42

x = 4, y = 4 18)

30? 25

m

n

m = 15, n = 5

20)

93

9 m = 9, n =

2

2

n

30?

m

9)

30?

x

y

2

x = 4, y = 2 3

11)

u

30?

v 53

u = 10, v = 5

13)

9

y 60?

x

x = 6 3, y = 3 3

15)

v

20 3

u =

, v = 10

10 3

3

3

30?

u

17)

x y

45?

52

x = 10, y = 5

19)

2 2 45?

2

11 u= , v=

22

v

u

Worksheet by Kuta Software LLC

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