5-7 the pythagorean theorem · pythagorean triple is 3, 4, 5; that is, the sides of a right...
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![Page 1: 5-7 The Pythagorean Theorem · Pythagorean triple is 3, 4, 5; that is, the sides of a right triangle are in the ratio 3:4:5. The most common Pythagorean triples are shown below in](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f87208162507a447e3a71a1/html5/thumbnails/1.jpg)
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5-7 The Pythagorean Theorem
![Page 2: 5-7 The Pythagorean Theorem · Pythagorean triple is 3, 4, 5; that is, the sides of a right triangle are in the ratio 3:4:5. The most common Pythagorean triples are shown below in](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f87208162507a447e3a71a1/html5/thumbnails/2.jpg)
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5-7 The Pythagorean Theorem
True
True
False
False
True
True
![Page 3: 5-7 The Pythagorean Theorem · Pythagorean triple is 3, 4, 5; that is, the sides of a right triangle are in the ratio 3:4:5. The most common Pythagorean triples are shown below in](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f87208162507a447e3a71a1/html5/thumbnails/3.jpg)
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5-7 The Pythagorean Theorem
![Page 4: 5-7 The Pythagorean Theorem · Pythagorean triple is 3, 4, 5; that is, the sides of a right triangle are in the ratio 3:4:5. The most common Pythagorean triples are shown below in](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f87208162507a447e3a71a1/html5/thumbnails/4.jpg)
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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
![Page 5: 5-7 The Pythagorean Theorem · Pythagorean triple is 3, 4, 5; that is, the sides of a right triangle are in the ratio 3:4:5. The most common Pythagorean triples are shown below in](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f87208162507a447e3a71a1/html5/thumbnails/5.jpg)
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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
![Page 6: 5-7 The Pythagorean Theorem · Pythagorean triple is 3, 4, 5; that is, the sides of a right triangle are in the ratio 3:4:5. The most common Pythagorean triples are shown below in](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f87208162507a447e3a71a1/html5/thumbnails/6.jpg)
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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.
![Page 7: 5-7 The Pythagorean Theorem · Pythagorean triple is 3, 4, 5; that is, the sides of a right triangle are in the ratio 3:4:5. The most common Pythagorean triples are shown below in](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f87208162507a447e3a71a1/html5/thumbnails/7.jpg)
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5-7 The Pythagorean Theorem
5 + 12 13
132 __ 52 + 122
169 __ 169= RIGHT
![Page 8: 5-7 The Pythagorean Theorem · Pythagorean triple is 3, 4, 5; that is, the sides of a right triangle are in the ratio 3:4:5. The most common Pythagorean triples are shown below in](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f87208162507a447e3a71a1/html5/thumbnails/8.jpg)
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5-7 The Pythagorean Theorem
2.8 + 4 6
62 __ (√8)2 + 42
36 __ 24 obtuse
![Page 9: 5-7 The Pythagorean Theorem · Pythagorean triple is 3, 4, 5; that is, the sides of a right triangle are in the ratio 3:4:5. The most common Pythagorean triples are shown below in](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f87208162507a447e3a71a1/html5/thumbnails/9.jpg)
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5-7 The Pythagorean Theorem
20 + 21 28
282 __ 202 + 212
784 __ 841< acute
![Page 10: 5-7 The Pythagorean Theorem · Pythagorean triple is 3, 4, 5; that is, the sides of a right triangle are in the ratio 3:4:5. The most common Pythagorean triples are shown below in](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f87208162507a447e3a71a1/html5/thumbnails/10.jpg)
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5-7 The Pythagorean Theorem
![Page 11: 5-7 The Pythagorean Theorem · Pythagorean triple is 3, 4, 5; that is, the sides of a right triangle are in the ratio 3:4:5. The most common Pythagorean triples are shown below in](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f87208162507a447e3a71a1/html5/thumbnails/11.jpg)
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5-7 The Pythagorean Theorem
![Page 12: 5-7 The Pythagorean Theorem · Pythagorean triple is 3, 4, 5; that is, the sides of a right triangle are in the ratio 3:4:5. The most common Pythagorean triples are shown below in](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f87208162507a447e3a71a1/html5/thumbnails/12.jpg)
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5-7 The Pythagorean Theorem
![Page 13: 5-7 The Pythagorean Theorem · Pythagorean triple is 3, 4, 5; that is, the sides of a right triangle are in the ratio 3:4:5. The most common Pythagorean triples are shown below in](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f87208162507a447e3a71a1/html5/thumbnails/13.jpg)
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5-7 The Pythagorean Theorem
![Page 14: 5-7 The Pythagorean Theorem · Pythagorean triple is 3, 4, 5; that is, the sides of a right triangle are in the ratio 3:4:5. The most common Pythagorean triples are shown below in](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f87208162507a447e3a71a1/html5/thumbnails/14.jpg)
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5-7 The Pythagorean Theorem