5-7 The Pythagorean Theorem · Pythagorean triple is 3, 4, 5; that is, the sides of a right...

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5-7 The Pythagorean Theorem

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5-7 The Pythagorean Theorem

True

True

False

False

True

True

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5-7 The Pythagorean Theorem

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5-7 The Pythagorean Theorem

(√19)2 = x2 + (√7)2

19 = x2 + 7

12 = x2

√ 12 = x

√ 4 √ 3 = x

2√ 3 = x

132 = x2 + 122

169 = x2 + 144

25 = x2

5 = x

x2 = 52 + 62

x2 = 25 + 36

x2 = 61

x = √61

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5-7 The Pythagorean Theorem

x = 26 (8 √2)2 = x2 + x2

x = 364 ● 2 = 2x2

128 = 2x2

64 = x2

8 = x

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5-7 The Pythagorean Theorem

The converse of the Pythagorean Theorem gives you a way to tell if a triangle is a right triangle when you know the side lengths.

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5-7 The Pythagorean Theorem

5 + 12 13

132 __ 52 + 122

169 __ 169= RIGHT

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5-7 The Pythagorean Theorem

2.8 + 4 6

62 __ (√8)2 + 42

36 __ 24 obtuse

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5-7 The Pythagorean Theorem

20 + 21 28

282 __ 202 + 212

784 __ 841< acute

Holt Geometry

5-7 The Pythagorean Theorem

Holt Geometry

5-7 The Pythagorean Theorem

Holt Geometry

5-7 The Pythagorean Theorem

Holt Geometry

5-7 The Pythagorean Theorem

Holt Geometry

5-7 The Pythagorean Theorem