Math U1 T3 Pythagoras Theorem

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):

1

Identify the hypotenuse of the triangle.

g

j

p

1

Identify the hypotenuse of the triangle.

n

r

d

1

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

1

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

1

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

1

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

1

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

1

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

1

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.

1

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

1

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

1

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

1

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

119

136

169

225

1

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

64

121

136

225

1

Is the following triangle a right triangle?

Yes

No

There is no way to tell.

1

Is the following triangle a right triangle?

Yes

No

There is no way to tell.

1

Is the following triangle a right triangle?

Yes

No

There is no way to tell.

1

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

Yes

No

There is no way to tell.

1

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

Yes

No

There is no way to tell.

1

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

Yes

No

There is no way to tell.

1

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

Yes

No

There is no way to tell.

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.

Math U1 T3 Pythagoras Theorem

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.

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.

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

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