index ピタゴラス数直角三角形

ピタゴラス数
整数a,b,cについてa²+b²=c²が成立するとき(a,b,c)をピタゴラス数という
a,b,cを△ABCの辺とすると△ABCは直角三角形（∠C=90°)
(1) 2n+1：2n(n+1)：2n(n+1)+1, (n≧1)
(2) m² - n²|　： 2mn： m² + n² ,m,nは互いに素でどちらかが偶数
(3) 2n:(n²-1):(n²+1)

原始ピタゴラス数

3:4:5
=6:8:10
=9:12:15

=12:16:20
=15:20:25
=18:24:30

=21:28:35
=24:32:40
=27:36:45

=30:40:50
=33:44:55
=36:48:60
=39:52:65

=42:56:70
=45:60:75
=48:64:80

=51:68:85
=54:72:90
=57:76:95

=60:80:100
=63:84:105
=66:88:110
=69:52:65

=72:
=75:
=78:

5:12:13

=10:24:26
=15:36:39

=20:48:52
=25:60:65

=30:72:78
=35:

=40:96:104
=45:

=50:120:130
=55:

=60:
=65:

=70:
=75:

7：24：25

=14:48:50

=21:72:75
=28:96:100

=35:

=42:
=49:

=56:

=63:

=70:
=77:

8:15:17

=16:30:34

=24:45:51

=32:60:68

=40:75:85
=48:

=56:

=64:

=72:135:153

9：40：41

=18:80:82

=27:120:123

=36:160:164

=45:200:205

=54:240:246

=63:

=72:320:328

11：60：61

=22:120:122

=33:180:183

=44:240:244

=55:300:305

12:35:37

=24:70:74

=36:105:111

=48:140:148

=60:

13：84：85

=26:168:170

=39:252:255

=52:336:340

=65:420:425

=78:504:510

15:112:113

=30:224:226

=45:336:339

=60:448:452

=75:560:565

16:63:65

=32:126:130

=48:189:195

=64:252:260