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The Pythagorean Theorem. 8.2 Pythagorean Theorem and Pythagorean Triples Essential Question: When is the Pythagorean Theorem useful to us?

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Presentation on theme: "The Pythagorean Theorem. 8.2 Pythagorean Theorem and Pythagorean Triples Essential Question: When is the Pythagorean Theorem useful to us?"— Presentation transcript:

1 The Pythagorean Theorem

2 8.2 Pythagorean Theorem and Pythagorean Triples Essential Question: When is the Pythagorean Theorem useful to us?

3 shorter sides of a right triangle longest side of a right triangle The square of the hypotenuse is equal to the sum of the squares of the legs

4 3 integers that form the sides of a right ∆ They work in the Pythagorean Theorem!

5 NO

6

7 YES

8 NO

9 The Murder Jango’s body was found 900ft away from the base of three buildings. The blaster trajectory was calculated to be about 1500 feet from the top of the roof to Jango’s body. The heights of the buildings each suspect was found on is as follows… Commander Cody: 900ft Obi Wan: 1000ft Yoda: 1200 ft Who committed the murder?

10 Going to Space Jail

11 5min

12 8.3 Applications of the Pythagorean Theorem Essential Question: Where do we use the Pythagorean Theorem?

13 ½ b 7

14

15

16 Three acute angles One obtuse angle

17 obtuse

18 Homework  8.2 (1-13 odds)  8.3 (evens)


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