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**Objective- To solve problems involving the Pythagorean Theorem.**

For Right Triangles Only! hypotenuse - always opposite the right angle leg leg

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**Objective- To solve problems involving the Pythagorean Theorem.**

For Right Triangles Only! hypotenuse c leg a b leg

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**Objective- To solve problems involving the Pythagorean Theorem.**

For Right Triangles Only! hypotenuse c a b Note: The order of the two legs doesn’t matter! b a

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**Objective- To solve problems involving the Pythagorean Theorem.**

For Right Triangles Only! Pythagorean Theorem c a b

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Solve for x. x 6 8 x = 10

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Solve for y. 7 4 y

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Solve for t. 6 t 15

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Pythagorean Triples

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Pythagorean Triples 12 9 15

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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. x 4 ft. 10 ft.

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**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? 20 miles x 45 miles

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Informal Proof #1 Inscribe a square within the square.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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**Informal Proof #2 - - a + b a b c a b c c b c a b a = =**

Total Purple Yellow Area Area Area - = a b - c a = b c c b c a b a

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The Pythagorean Theorem

The Pythagorean Theorem

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