Pythagorean Theorem

Pythagorean Theorem

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Pythagorean theorem

a² + b² = c²

Poll

Does this equation seem familiar to you? (a² + b² = c²)

• Yes!

• Maybe?

• Not at all

a² + b² = c²

• squaring the two legs and adding them gives you the square of the third (longest side)

• add up all the reds and yellows, and it should equal the amount of oranges!

legs and hypotenuse

the legs ( "a" and "b") are always the two shorter sides

the hypotenuse ("c") is always the longest side

Multiple Choice

The missing side is a...

• hypotenuse

• leg

Multiple Choice

Which of these sides is the hypotenuse?

• 8

• 15

• 17

Multiple Choice

solve for c

• 7
• 9
• 4
• 13

Multiple Choice

_{^{Find the missing side}}

• 48
• 108
• 83.6
• 72

Multiple Choice

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

Multiple Choice

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Multiple Choice

Would a triangle with these side lengths be a right triangle?
4, 5, 6

• Yes
• No

A second chance at the warm up from this morning:

(look back at your notes)

Multiple Choice

The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 3 feet tall and 6 feet wide?

• 18

• 6.7

• 5

• 3

• 4.5