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September 28th Quizziz Pythagorean Theorem Word Problems

Total questions: 20

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

2.
side a on a right triangle is ALWAYS the longest side
a)
true
b)
false
3.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
4.
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
5.
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
6.

Sides a and b are called legs.

a)

true

b)

false

7.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
8.

Level 1

If a right triangle has side lengths 6, 7 and 3, which side is the hypotenuse?

a)

6

b)

7

c)

3

d)

49

e)

9

9.
What is the final step in solving this work for c?
a2 + b2 = c2
32 + 42 = c2
9 + 16 = c2
25 = c2
a)
Divide both sides by 2
b)
Take the square root of both sides
10.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
a)
Yes
b)
No
11.

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?

Which diagram best represents the problem?

a)
b)
c)
d)
12.

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?

Which equation could be used to solve the problem?

a)

252+102=c225^2+10^2=c^2

b)

252+b2=10225^2+b^2=10^2

c)

a2+102=252a^2+10^2=25^2

d)

102+b2=25210^2+b^2=25^2

13.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

a)

105 meters

b)

79.4 meters

c)

210 meters

d)

150 meters

14.

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

a)

9 feet

b)

19.2 feet

c)

81 feet

d)

369 feet

15.
A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?
a)
7.5 in
b)
12.4 in
c)
13.6 in 
d)
14.3 in
16.
To get from one side of the pond to the other you must walk 34 meters south and 41 meters east.  To the nearest meter, how many less meters would it take if it were possible to go directly across the pond.  
a)
53
b)
22
c)
75
d)
9
17.

Johnathan is painting the side of his home. He has a 25 foot ladder and leans the ladder against his house. The base of the ladder is five feet from the side of the house. How far up the house will the ladder reach?

a)

24.5 ft

b)

25.5 ft

c)

26.5 ft

d)

23.5 ft

18.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

19.
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
a)
14
b)
10
c)
5.3
d)
2
20.
To get from one side of the pond to the other you must walk 34 meters south and 41 meters east.  To the nearest meter, how many less meters would it take if it were possible to go directly across the pond.  
a)
53
b)
22
c)
75
d)
9