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Learning Target: I can solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle.

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

1 Learning Target: I can solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle

2 Learning Target: I can solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse a b c

3 b a a b Learning Target: I can solve problems involving the Pythagorean Theorem. For Right Triangles Only! hypotenuse c

4 a b c Pythagorean Theorem Learning Target: I can solve problems involving the Pythagorean Theorem. For Right Triangles Only!

5 6 8 x Solve for x.

6 4 7 y Solve for y.

7 6 t 15 Solve for t.

8 Pythagorean Triples 3 4 5 6 8 10 9 12 15 12 16 20

9 Pythagorean Triples 3 4 5 6 8 10 9 12 15 12 16 20 5 12 13 10 24 26 15 36 39 7 24 25 14 48 50 21 72 75 9 15 12

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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