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Distance and Pythagorean Theorem

Total questions: 16

Worksheet time: 3hrs 31mins

Name
Class
Date
1.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
2.

What is the distance between the two points? Round to the tenths place if needed

a)

6.3

b)

6.5

c)

6.7

d)

16

3.

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

a)

5 cm

b)

7 cm

c)

10 cm

d)

12 cm

4.

Faith travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is the distance she traveled on the way home?

a)

17 miles

b)

23 miles

c)

37 miles

d)

40 miles

5.

Find the distance. Round to the nearest tenth if needed

a)

9.7

b)

10.7

c)

11.7

d)

12.7

6.

What is the distance between A & B?

4 lines
7.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
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 (round to the nearest whole number)

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

9.

Find the distance between J and K.

4 lines
10.
What is the shortest distance from the hospital to the gas station?
a)
-10
b)
10
c)
8
d)
13
11.

Find the distance between these two points. Round to the nearest tenth is needed.

a)

13

b)

7.9

c)

9.2

d)

3.6

12.

What is the distance between (-32,40) and (-24,36)?

4 lines
13.
What is the value of x in the right triangle shown?
a)
16cm
b)
18cm
c)
24cm
d)
√674cm
14.
Find the diameter of the circle.
a)
5 units 
b)
4 units
c)
12.2 units
d)
7.5 units
15.

What is the shortest distance from the stadium to the greenhouse?

4 lines
16.

What is the shortest distance from the police station to the animal shelter?

4 lines