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

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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!

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

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6 8 x Solve for x. x = 10

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4 7 y Solve for y.

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6 t 15 Solve for t.

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Pythagorean Triples

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Pythagorean Triples

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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

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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

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Informal Proof #1 Inscribe a square within the square.

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

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a b a a a b b b c c c c a b c

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b a a a b b c c c a b c

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b a a a b b c c c a b c a b c

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b a a b c c a b c a b c

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b a a b c c a b c a b c b a c

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a b c a b c a b c b a c

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a b c a b c a b c b a c a b c

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a b c a b c b a c a b c

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a b c a b c b a c a b c

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a b c a b c b a c a b c a b c

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a b c b a c a b c a b c a b c

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b a c a b c a b c a b c a b c

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b a c a b c a b c a b c b a c

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a b c a b c a b c b a c

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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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