Pythagorean Theorem

Take out your headphones, lined paper, and a writing utensil and prepare to take notes! 📝

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Lesson 15.4 -

Pythagorean Theorem

Drag and Drop

The Pythagorean Theorem is ​

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Drag these tiles and drop them in the correct blank above

Multiple Choice

The Pythagorean Theorem ONLY works on which triangle?

• obtuse

• scalene

• isosceles

• right

Multiple Choice

What side(s) will always be the longest on a right triangle?

• The Hypotenuse

• Leg A

• Leg B

• The Right Angle

Multiple Select

What side(s) will always be the shortest on a right triangle?

Select all that apply

• The Hypotenuse

• Leg A

• Leg B

• The Right Angle

Multiple Choice

The legs form what type of angle?

• Acute

• Obtuse

• Reflex

• Right

Multiple Choice

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

• 9

• 40

• 41

Multiple Choice

Do these 3 side lengths form a right triangle?
13, 80, and 81?

• yes

• no

Multiple Choice

If the sides of a triangle are 7, 24, and 25, is it a right triangle?

• yes

• no

Multiple Choice

a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?

• yes 

• no

​Pythagorean Theorem can be used to solve for the missing side length of a right triangle if we set up the equation correctly. Check out these examples and copy all three into your notes.

Multiple Choice

Find the measure of h.

• 13

• 20

• 9.7

• 10

Multiple Choice

_{^{Find the missing side}}

• 36

• 76.8

• 12

• 40

Multiple Choice

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

Multiple Choice

Find the value of x.

• 2√5

• 3√5

• 4√5

• 10√5

Multiple Choice

Level 2

Solve for the value of y

• 13

• 5

• 23

• 10

Multiple Choice

Solve for x. SIMPLIFY your radical answer completely.

• √181

• 90

• 19

• √19

Multiple Choice

Solve for x. SIMPLIFY your radical answer completely.

• √3

• 3

• √41

• 41

Multiple Choice

Solve for x. SIMPLIFY your radical answer completely.

• 2√6

• 6√2

• 4√6

• 6√4

Multiple Choice

What is the length of the iPad diagonal?

•   $$9\sqrt{2}in.$$  

• $$\sqrt{85}in.$$  

• $$\sqrt{13}in.$$  

• $$5\sqrt{17}in.$$  

Multiple Choice

If a triangle has a hypotenuse with a length of 12 cm and a leg with a length of 10 cm, how long is the other leg rounded to the nearest tenth?

• $$2\sqrt{11}cm.$$

• $$11\sqrt{2}cm.$$

• $$4\sqrt{11}cm.$$

• $$11\sqrt{4}cm.$$