Pythagorean Theorem

5.7.5 Solve Problems using the Pythagorean Theorem

Multiple Choice

What is the length of the bottom of the TV?

• 12

• 25

• 38

• 52

Multiple Choice

Abby wants to know if she has a square corner. In order to check we need to make sure the lengths given form a right triangle.

Hint: Answer has to be EXACTLY the SAME!

• Yes, she has a square corner

• No, she does not have a square corner

Multiple Choice

You are going to make a picture frame. What would the measure of the diagonal of the frame have to be to ensure the corners are square?

• 6.4

• 6.875

• 8.125

• 9.625

Multiple Choice

What lengths represent a right triangle?

• 6,8,10

• 1,2,3

• 2,4,6

Multiple Choice

What is the length of x?

• 6

• 12

• 18

• 24

Mr. K wants to store a 12 foot long pipe in a tool closet that is 6 feet wide, 6 feet long, and 8 feet high. Will if fit?

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Multiple Choice

Find the length of the diagonal.

• 29.1

• 9.5

• 6.8

• 5.4

Multiple Choice

What is the length of the walkway, w, to the nearest foot?

• 20

• 30

• 34

• 46

Multiple Choice

What is the length of the walkway, w, to the nearest foot?

• 20

• 30

• 34

• 46

Multiple Choice

Is this a right triangle?

• Yes

• No

Multiple Choice

Is this a right triangle?

• Yes

• No

Multiple Choice

Is this a right triangle?

• Yes

• No

Multiple Choice

Is a triangle with side lengths of 7, 4, and 4 a right triangle?

• Yes

• No

Multiple Choice

Find the missing side.

• 18

• 16

• 17

• 19

Hypotenuse

• The longest side of a right triangle

• The side that is opposite (across) from the 90^o angle.

• When using the Pythagorean Theorem, the Hypotenuse is represented by the variable, c.

The Pythagorean Theorem

Steps:

Ex 1:

How to find a missing side:

Steps:

Ex 2:

How to find a missing side:

Multiple Choice

Find the length of the missing side. 

• 25 cm

• 42 cm

• 52 cm

• 48 cm

Multiple Choice

Find the length of the missing side. 

• 20 in.
• 68 in.
• 16 in.
• 80 in.

Multiple Choice

Find the length of the missing side. 

• 17 cm
• 22 cm
• 15 cm
• 13 cm

Open Ended

Is triangle ADC similar to triangle CDB? Explain or show your reasoning.

Open Ended

Write 3 similarity statements. showing the three triangles are similar.

Open Ended

Determine the scale factor for each pair of triangles.

Open Ended

Determine the lengths of sides HG, GF, and HF.

Open Ended

The diagram shows 3 similar triangles.

Find the value of AD.