Apa Itu Tripel Phytagoras?
Tripel phytagoras adalah trio (tiga) bilangan bulat yang memenuhi
aturan phitagoras a2 +
b2 = c2 dengan a, b, c bilangan bulat positif. Atau tripel Phytagoras adalah
kelompok tiga bilangan bulat positif yang memenuhi kuadrat bilangan terbesar
sama dengan jumlah kuadrat dua bilangan lainnya. Kita juga bisa
memberikan definisi tripel phytagoras sebagai tiga buah bilangan bulat yang
merupakan sisi-sisi dari segitiga siku-siku. Jika pada segitiga siku-siku, sisi
siku sikunya 1 dan 2 maka sisi miringnya adalah √5 , bukan merupakan tripel
phytagoras karena √5 bukan bilangan bulat.
Bilangan tripel Phytagoras, juga dapat
dicari dengan menggunakan rumus: (a2 – b2), 2ab,
(a2 + b2)
dengan a > b dan a,
b merupakan bilangan bulat positif.
Perhatikan Tabel berikut :
a
|
b
|
|
2ab
|
|
Trypel Pythagoras
|
|||
2
|
1
|
3
|
4
|
5
|
3, 4, 5
|
|||
3
|
1
|
8
|
6
|
10
|
6,8,10
|
|||
3
|
2
|
5
|
12
|
13
|
5, 12, 13
|
|||
4
|
1
|
15
|
8
|
17
|
8, 15, 17
|
|||
4
|
2
|
12
|
16
|
20
|
12, 16, 20
|
|||
4
|
3
|
7
|
24
|
25
|
7, 24, 25
|
|||
5
|
1
|
24
|
10
|
26
|
10, 24, 26
|
|||
5
|
2
|
21
|
20
|
29
|
20, 21, 29
|
|||
5
|
3
|
16
|
30
|
34
|
16, 30,34
|
|||
5
|
4
|
9
|
40
|
41
|
9, 40, 41
|
|||
dst …..
|
Silakan SOBAT melanjutkannya
………….. !
Berikut disajikan pula bilangan tripel phytagoras yang kurang dari 1000.
Bilangan Tripel Phytagoras
|
|||||
[3,4,5]
|
[5,12,13]
|
[7,24,25]
|
[8,15,17]
|
[9,40,41]
|
[11,60,61]
|
[12,35,37]
|
[13,84,85]
|
[15,112,113]
|
[16,63,65]
|
[17,144,145]
|
[19,180,181]
|
[20,21,29]
|
[20,99,101]
|
[21,220,221]
|
[23,264,265]
|
[24,143,145]
|
[25,312,313]
|
[27,364,365]
|
[28,45,53]
|
[28,195,197]
|
[29,420,421]
|
[31,480,481]
|
[32,255,257]
|
[33,56,65]
|
[33,544,545]
|
[35,612,613]
|
[36,77,85]
|
[36,323,325]
|
[37,684,685]
|
[39,80,89]
|
[39,760,761]
|
[40,399,401]
|
[41,840,841]
|
[43,924,925]
|
[44,117,125]
|
[44,483,485]
|
[48,55,73]
|
[48,575,577]
|
[51,140,149]
|
[52,165,173]
|
[52,675,677]
|
[56,783,785]
|
[57,176,185]
|
[60,91,109]
|
[60,221,229]
|
[60,899,901]
|
[65,72,97]
|
[68,285,293]
|
[69,260,269]
|
[75,308,317]
|
[76,357,365]
|
[84,187,205]
|
[84,437,445]
|
[85,132,157]
|
[87,416,425]
|
[88,105,137]
|
[92,525,533]
|
[93,476,485]
|
[95,168,193]
|
[96,247,265]
|
[100,621,629]
|
[104,153,185]
|
[105,208,233]
|
[105,608,617]
|
[108,725,733]
|
[111,680,689]
|
[115,252,277]
|
[116,837,845]
|
[119,120,169]
|
[120,209,241]
|
[120,391,409]
|
[123,836,845]
|
[124,957,965]
|
[129,920,929]
|
[132,475,493]
|
[133,156,205]
|
[135,352,377]
|
[136,273,305]
|
[140,171,221]
|
[145,408,433]
|
[152,345,377]
|
[155,468,493]
|
[156,667,685]
|
[160,231,281]
|
[161,240,289]
|
[165,532,557]
|
[168,425,457]
|
[168,775,793]
|
[175,288,337]
|
[180,299,349]
|
[184,513,545]
|
[185,672,697]
|
[189,340,389]
|
[195,748,773]
|
[200,609,641]
|
[203,396,445]
|
[204,253,325]
|
[205,828,853]
|
[207,224,305]
|
[215,912,937]
|
[216,713,745]
|
[217,456,505]
|
[220,459,509]
|
[225,272,353]
|
[228,325,397]
|
[231,520,569]
|
[232,825,857]
|
[240,551,601]
|
[248,945,977]
|
[252,275,373]
|
[259,660,709]
|
[260,651,701]
|
[261,380,461]
|
[273,736,785]
|
[276,493,565]
|
[279,440,521]
|
[280,351,449]
|
[280,759,809]
|
[287,816,865]
|
[297,304,425]
|
[300,589,661]
|
[301,900,949]
|
[308,435,533]
|
[315,572,653]
|
[319,360,481]
|
[333,644,725]
|
[336,377,505]
|
[336,527,625]
|
[341,420,541]
|
[348,805,877]
|
[364,627,725]
|
[368,465,593]
|
[369,800,881]
|
[372,925,997]
|
[385,552,673]
|
[387,884,965]
|
[396,403,565]
|
[400,561,689]
|
[407,624,745]
|
[420,851,949]
|
[429,460,629]
|
[429,700,821]
|
[432,665,793]
|
[451,780,901]
|
[455,528,697]
|
[464,777,905]
|
[468,595,757]
|
[473,864,985]
|
[481,600,769]
|
[504,703,865]
|
[533,756,925]
|
[540,629,829]
|
[555,572,797]
|
[580,741,941]
|
[615,728,953]
|
Demikian postingan ini,
semoga bermanfaat !!
