Free Printable HGEO 9.1

1.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

2.

a² + b² = c^{2
a = 9 b = 40}

a)

c = 41

b)

c = 65

c)

c = 25

d)

c = 5

3.

a² + b² = c^{2
b = 35 c = 37}

a)

a = 12

b)

a = 11

c)

a = 18

d)

a = 14

4.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

5.

side a on a right triangle is ALWAYS the longest side

a)

true

b)

false

6.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

7.

State if the three sides lengths form an acute, obtuse, or right triangle:
6 mi, 14 mi, 17 mi

a)

acute

b)

obtuse

c)

right

8.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

9.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

10.

State if the three sides lengths form an acute, obtuse, or right triangle:
7 in, 11 in, 13 in

a)

acute

b)

obtuse

c)

right

11.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

12.

The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 3 feet tall and 6 feet wide?

a)

18

b)

6.7

13.

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.

a)

5

b)

7

c)

10

d)

12

14.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

15.

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

a)

4√2

b)

4

c)

8

d)

4√3

16.

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

a)

8√2

b)

$\frac{8}{\sqrt{2}}$

c)

16

d)

8

17.

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

a)

$4\sqrt{3}$

b)

4

c)

8

d)

$4\sqrt{2}$

18.

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

a)

6

b)

$\frac{6}{\sqrt{3}}$

c)

3

d)

$\frac{6}{\sqrt{2}}$

19.

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

a)

4√2

b)

4√3

c)

4

d)

8

20.

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

21.

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

a)

x = 6

b)

x = 3√2

c)

x = 3√3

d)

x = 3√3

22.

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

a)

a = 7√3

b)

a = 7√2

c)

a = 14

d)

a = 14√3

23.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

24.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

25.

Find a.

a)

12

b)

24

c)

24√3

d)

16

26.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

27.

What is the length of x in this picture?

a)

45

b)

5√2

c)

90

d)

5

28.

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

a)

4√2

b)

4

c)

8

d)

4√3

29.

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

a)

$y=6$

b)

$y=3\sqrt{2}$

c)

$y=3\sqrt{3}$

d)

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

30.

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

31.

What is the measure of side b?

a)

5

b)

10√2

c)

$\frac{10}{\sqrt{2}}$

d)

10√3

32.

What is the length of x in this triangle?

a)

14

b)

$7\sqrt{3}$

c)

3.5

d)

$\frac{14}{\sqrt{3}}$

33.

What is the length of y in this triangle?

a)

14

b)

$7\sqrt{3}$

c)

3.5

d)

$\frac{7}{\sqrt{3}}$

34.

Find the geometric mean of 12 and 22. Simplify radical if needed.

a)

6 $\sqrt{66}$

b)

26 $\sqrt{4}$

c)

2 $\sqrt{66}$

35.

Using attributes of similar right triangles, find value of x:

a)

x = 13.3

b)

x = 4.8

c)

x = 10

36.

Using the values provided and the attritubes of right triangles, find the value of x

a)

$30$

b)

40

c)

24^2

d)

$\sqrt{768}$

37.

Find the length of AB.

a)

36

b)

18

c)

6

d)

12

38.

The accompanying diagram shows a 24-foot ladder leaning against a building. A steel brace extends from the ladder to the point where the building meets the ground. The brace forms a right angle with the ladder.If the steel brace is connected to the ladder at a point that is 10 feet from the foot of the ladder, which equation can be used to find the length, x, of the steel brace?

a)

$\frac{10}{x}=\frac{x}{14}$

b)

$\frac{10}{x}=\frac{x}{24}$

c)

$10^2+x^2=14^2$

d)

$10^2+x^2=24^2$

39.

In right triangle ABC below, CD is the altitude to hypotenuse AB. If CD=6 and the ratio of AD to AB is 1:5, determine and state the length of BD.

a)

2.68

b)

7.2

c)

14.4

d)

3.1

40.

How far is it across the lake?

a)

4

b)

6

c)

9

d)

12

41.

In the accompanying diagram, triangle ABC is a right triangle and CD is the altitude to hypotenuse AB. If AD=4 and DB=16 find the length of CD.

a)

0

b)

64

c)

8

d)

32

42.

In right triangle ABC, altitude CD is drawn to hypotenuse AB. Find the length of BC.

a)

80

b)

40

c)

0

d)

8.9

43.

Find the length of the altitude of triangle PQR.

a)

6.9

b)

48

c)

24

d)

0

44.

x=?

a)

3

b)

5

c)

4

d)

6

45.

$\frac{a}{x}=\frac{x}{b}$ Find the geometric mean of 5 and 8.

a)

4

b)

10

c)

2√10

d)

4√10

46.

$\frac{a}{x}=\frac{x}{b}$ What is the value of x?

a)

48

b)

12

c)

$3\sqrt{7}$

d)

9

HGEO 9.1 - 9.3

Total questions: 46

Worksheet time: 2hrs 38mins

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