Pythagorean Theorem

​Pythagorean Theorem

​Essential Question: How can we use the sides and angles of right triangles to find the missing information of the remaining parts?

​Compile a list of everything you know about this figure.

Collaborate​

Talk with your tablemates about their list and create a master list and be prepared to share!

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(You can use markers to write your master list on the desk!)​

Parts of a Right Triangle

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• Hypotenuse (always the longest side)

• 2 Legs (interchangable)

• 1 Right angle (90°)

Multiple Choice

What is the longest side of a Right Triangle called?

• Leg

• Hypotenuse

• Hippopotamus

• Scalene

Multiple Choice

If a right triangle has side lengths 10,6,5 which side is the hypotenuse?

• 10

• 6

• 5

• 16

Pythagorean Theorem

Remember that the legs are interchangeable!

Inverse Operations

​Recall that in order to isolate variables we need to apply inverse operations!

Multiple Choice

What is the square root of 25?

• 6

• 7

• 5

• 4

Multiple Choice

what is 7 squared?

• 14

• 49

• 64

• 16

​Example 1.) solve for x.

​Example 2.) solve for x.

Multiple Choice

What is the value of x?

• x=20

• x=54

• x=27

• x=9

Multiple Choice

Do the segment lengths 9, 12, and 15 form a right triangle?

• Yes

• No

• Maybe

• Pythagorean