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Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle.

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Presentation on theme: "Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle."— Presentation transcript:

1 Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle

2 Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse a b c

3 b a a b Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! hypotenuse c Note: The order of the two legs doesnt matter!

4 a b c Pythagorean Theorem Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only!

5 6 8 x Solve for x. x = 10

6 4 7 y Solve for y.

7 6 t 15 Solve for t.

8 Pythagorean Triples

9 Pythagorean Triples

10 To the nearest tenth of a foot, find the length of the diagonal of a rectangle with a width of 4 feet and a length of 10 feet. 4 ft. 10 ft. x

11 20 miles A car drives 20 miles due east and then 45 miles due south. To the nearest hundredth of a mile, how far is the car from its starting point? 45 miles x

12 Informal Proof #1 Inscribe a square within the square.

13 a b a a a b b b c c c c Informal Proof #1

14 a b a a a b b b c c c c a b c

15 b a a a b b c c c a b c

16 b a a a b b c c c a b c a b c

17 b a a b c c a b c a b c

18 b a a b c c a b c a b c b a c

19 a b c a b c a b c b a c

20 a b c a b c a b c b a c a b c

21 a b c a b c b a c a b c

22 a b c a b c b a c a b c

23 a b c a b c b a c a b c a b c

24 a b c b a c a b c a b c a b c

25 b a c a b c a b c a b c a b c

26 b a c a b c a b c a b c b a c

27 a b c a b c a b c b a c

28 a b a a a b b b c c c c Informal Proof #2 a + b Total Purple Yellow Area Area Area - = - =


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