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Math U1 T3 Pythagoras Theorem

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Last updated over 6 years ago
25 questions
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Instructions:
Use extra scrap paper to make your calculations. You are NOT allowed calculators, but are allowed a square root chart (included below for your benefit):
Question 1
1.

Question 2
2.

Question 3
3.

Question 4
4.

Question 5
5.

Question 6
6.

Question 7
7.

Question 8
8.

Question 9
9.

You can use the square root number line to help you approximate the square roots for questions 10 - 12.
Question 10
10.

Question 11
11.

Question 12
12.

Question 13
13.

Question 14
14.

Question 15
15.

Question 16
16.

Question 17
17.

Question 18
18.

Question 19
19.

Question 20
20.

Question 21
21.

Question 22
22.

Find the missing number in the Pythagorean Triple if the numbers are listed in ascending order:

7, 24, ____

Question 23
23.

Find the missing number in the Pythagorean Triple if the numbers are listed in ascending order:

16, 30, ____

Question 24
24.

Find the missing number in the Pythagorean Triple if the numbers are listed in ascending order:

10, ____ , 26

Question 25
25.

A ladder leans against a wall. It reaches 35 units up. How long is the ladder, if the foot of the ladder is 12 units from the base of the wall? Provide your answer as ONLY a number, and do not include the word units.

Identify the hypotenuse of the triangle.
g
j
p

Identify the hypotenuse of the triangle.
n
r
d
Find the length of the unknown side in the right triangle.

Find the length of the unknown side in the right triangle.
Find the length of the unknown side in the right triangle.
Find the length of the unknown side in the right triangle.
Find the length of the unknown side in the right triangle.
Find the length of the unknown side in the right triangle.
Find the length of the unknown side in the right triangle.
Approximate the length of the unknown side in each triangle.
(Warning: the triangle is not always drawn correctly, so you must trust the math, and not the picture).
a number between 4 and 5
a number between 5 and 6
a number between 6 and 7
a number between 7 and 8
Approximate the length of the unknown side in each triangle.
(Warning: the triangle is not always drawn correctly, so you must trust the math, and not the picture).
a number between 12 and 13
a number between 13 and 14
a number between 14 and 15
a number between 15 and 16
Approximate the length of the unknown side in each triangle.
(Warning: the triangle is not always drawn correctly, so you must trust the math, and not the picture).
a number between 11 and 12
a number between 12 and 13
a number between 13 and 14
a number between 14 and 15
What is the area of the missing square if P is a right angled triangle?
119
136
169
225
What is the area of the missing square if X is a right angled triangle?
64
121
136
225
Is the following triangle a right triangle?
Yes
No
There is no way to tell.
Is the following triangle a right triangle?
Yes
No
There is no way to tell.
Is the following triangle a right triangle?
Yes
No
There is no way to tell.
Is the set of numbers a Pythagorean Triple?

20, 30, 40
Yes
No
There is no way to tell.
Is the set of numbers a Pythagorean Triple?

30, 40, 50
Yes
No
There is no way to tell.
Is the set of numbers a Pythagorean Triple?

20, 21, 29
Yes
No
There is no way to tell.
Is the set of numbers a Pythagorean Triple?


60, 11, 62
Yes
No
There is no way to tell.