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4.9 Pythagorean Triples - Kutz
供稿人: Kutz
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3

Three combinations of sides occur so often

they should be memorized. The first one

is a 3, 4, 5 triangle. Whenever the legs are

3 and 4 in a right triangle the hypotenuse

will be 5. This is true for any multiple of

3, 4, 5 as well.

Pythagorean Triples

4
5
32 + 42 = 52
9 + 16 = 25
25 = 25
10
8
6

2

8
16
15
3

Another common  triple is 5,12,13. When the legs

are 5 and 12 the hypotenuse will be 13.

Pythagorean Triple

25 + 144 = 169
52 + 122 = 132
169 = 169

4

36
5

Another common  triple is 8,15,17. When the legs

are 8 and 15 the hypotenuse will be 17.

Pythagorean Triple

64 + 225 = 289
82 + 152 = 172
289 = 289

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51
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