Pythagorean Theorem with Models Introduction

Pythagorean Theorem

​Math Humor

Multiple Choice

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

• $$17^2+8^2=b^2$$  

• $$8^2+b^2=17^2$$  

• $$17^2+b^2=8^2$$  

• $$\frac{8^2}{b^2}=\frac{17^2}{100}$$  

Multiple Choice

What is the opposite of squaring a number?

• divide

• multiply 

• fractions

• square root

Multiple Choice

The Pythagorean Theorem ONLY works on which triangle? 

• Obtuse

• Right

• Acute

• Isosceles

Multiple Choice

What is the side of a right triangle across from the right angle called?

• Square

• Arm

• Leg

• Hypotenuse

Can you determine the error on this Pythagorean

Theorem question?

​

Error???

They did not set up the formula correctly.

The hypotenuse is 25ft.

The correct set up should be:

7² + x² = 25²

​

Error:

The hypotenuse length is an irrational square root.

Example

Multiple Choice

Is this a right triangle

• Yes

• No

Multiple Choice

Find the length of the missing side

• 20

• 68

• 16

• 80

Multiple Choice

Find the length of the missing side

• 17

• 15

• 22

• 13

Multiple Choice

_{^{Find the missing side}}

• 36

• 76.8

• 12

• 40

Multiple Choice

Which equation is modeled by the picture shown?

• 3²+5²=4²

• 3²+4²=5²

• 5²+4²=3²

• 9²+16²=25²

Multiple Choice

How high is the ramp?

Round to the nearest tenth.

• 28.3 ft.

• 6.3 ft.

• 8.9 ft.

• 27.6 ft.

We will be moving into more complete questions with the Pythagorean Theorem.