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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.

Identify the hypotenuse of the triangle.

Question 2
2.


Identify the hypotenuse of the triangle.

Question 3
3.

Find the length of the unknown side in the right triangle.

Question 4
4.

Find the length of the unknown side in the right triangle.

Question 5
5.

Find the length of the unknown side in the right triangle.

Question 6
6.

Find the length of the unknown side in the right triangle.

Question 7
7.

Find the length of the unknown side in the right triangle.

Question 8
8.

Find the length of the unknown side in the right triangle.

Question 9
9.

Find the length of the unknown side in the right triangle.

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

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).

Question 11
11.

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).

Question 12
12.

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).

Question 13
13.

What is the area of the missing square if P is a right angled triangle?

Question 14
14.

What is the area of the missing square if X is a right angled triangle?

Question 15
15.

Is the following triangle a right triangle?

Question 16
16.

Is the following triangle a right triangle?

Question 17
17.

Is the following triangle a right triangle?

Question 18
18.

Is the set of numbers a Pythagorean Triple?

20, 30, 40

Question 19
19.

Is the set of numbers a Pythagorean Triple?

30, 40, 50

Question 20
20.

Is the set of numbers a Pythagorean Triple?

20, 21, 29

Question 21
21.

Is the set of numbers a Pythagorean Triple?


60, 11, 62

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.