Free Printable pithagoras

Free Printable Worksheets

Worksheets

pithagoras

Total questions: 20

Worksheet time: 56mins

Name

Class

Date

1.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

2.

A group of boys are building a skate ramp onto the side of a concrete ledge. The concrete ledge is 4 feet tall. If the board they are using is 6 feet long, how many feet from the concrete will the end of the board reach?

a)

5 feet

b)

7.2 feet

c)

8 feet

d)

4.5 feet

3.

To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

a)

35

b)

22

c)

58

d)

75

4.

State if the three side lengths form an acute, obtuse, or right triangle.

6,\ \sqrt{133},\ 13

a)

Acute Triangle

b)

Right Triangle

c)

Obtuse Triangle

d)

Not a Triangle

5.

Which set of side lengths form a right triangle?

a)

3, 4, 7

b)

33, 56, 65

c)

66, 72, 97

d)

10, 15, 25

6.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

7.

a)

5

b)

6

c)

10

d)

11

8.

a)

11

b)

12

c)

9.8

d)

11.5

9.

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

a)

4√2

b)

4

c)

8

d)

4√3

10.

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

a)

b)

c)

d)

11.

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

a)

b)

c)

d)

12.

If AC = 2, find the length of AB and BC.

a)

AB = $\sqrt[]{2}$

BC = $\sqrt[]{2}$

b)

AB = $2\ \sqrt[]{2}$

BC = $2\ \sqrt[]{2}$

c)

AB = $2\ \sqrt[]{2}$

BC = $\sqrt[]{2}$

d)

AB = $\sqrt[]{2}$

BC = $2\ \sqrt[]{2}$

13.

What is the value of x?

a)

2

b)

18

c)

2√9

d)

9√2

14.

What is the measure of side b?

a)

5

b)

10√2

c)

5√2

d)

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

15.

What is the distance between the points:
Give the exact answer.

4 lines

16.

4 lines

17.

What is the coordinate of point C

4 lines

18.

Give exact values for the length of AC and AB, as well as the area of the triangle.

4 lines

19.

You must show all work done to get the answer:

4 lines

20.

Be very specific whit your justification

4 lines

100 %

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