Jan 09_U3_02_Pythagoras Theorem cloned 1/9/2023

Last updated over 3 years ago

26 questions

1

Required

10

Library

Jan 09_U3_02_Pythagoras Theorem cloned 1/9/2023

Last updated over 3 years ago

26 questions

Instructions: 
Please do each question in a piece of paper and upload the work at the end of this worksheet. 

1

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

1

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

7, 24, ____

1

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

16, 30, ____

1

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

10, ____ , 26

1

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.

Required

10

Upload all the work here.....

Instructions: 
Please do each question in a piece of paper and upload the work at the end of this worksheet. 

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.

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

 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.

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

7, 24, ____

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

16, 30, ____

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

10, ____ , 26

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.

Upload all the work here.....

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.

Jan 09_U3_02_Pythagoras Theorem cloned 1/9/2023

Jan 09_U3_02_Pythagoras Theorem cloned 1/9/2023

Find the missing number in the Pythagorean Triple if the numbers are listed in ascending order:7, 24, ____

Find the missing number in the Pythagorean Triple if the numbers are listed in ascending order:16, 30, ____

Find the missing number in the Pythagorean Triple if the numbers are listed in ascending order:10, ____ , 26

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.

Upload all the work here.....

Identify the hypotenuse of the triangle.

Identify the hypotenuse of the 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.

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).

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).

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).

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

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

Is the following triangle a right triangle?

Is the following triangle a right triangle?

Is the following triangle a right triangle?

Is the set of numbers a Pythagorean Triple? 20, 30, 40

Is the set of numbers a Pythagorean Triple? 30, 40, 50

Is the set of numbers a Pythagorean Triple? 20, 21, 29

Is the set of numbers a Pythagorean Triple? 60, 11, 62

Find the missing number in the Pythagorean Triple if the numbers are listed in ascending order:7, 24, ____

Find the missing number in the Pythagorean Triple if the numbers are listed in ascending order:16, 30, ____

Find the missing number in the Pythagorean Triple if the numbers are listed in ascending order:10, ____ , 26

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.

Upload all the work here.....

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

7, 24, ____

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

16, 30, ____

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

10, ____ , 26

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).

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).

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).

Is the set of numbers a Pythagorean Triple?

20, 30, 40

Is the set of numbers a Pythagorean Triple?

30, 40, 50

Is the set of numbers a Pythagorean Triple?

20, 21, 29

Is the set of numbers a Pythagorean Triple?

60, 11, 62

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

7, 24, ____

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

16, 30, ____

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

10, ____ , 26