Jawab:
B. 1, 2, dan 4
Penjelasan dengan langkah-langkah:
Triple pythagoras berarti tiga buah bilangan a, b, c memenuhi syarat [tex]c^{2} = a^{2} + b^{2}[/tex]
1. 3, 4, 5
[tex]5^{2} = 25\\3^{2} + 4^{2} = 9 + 16\\ 3^{2} + 4^{2} = 25\\3^{2} + 4^{2} = 5^{2}[/tex]
2. 15, 8, 17
[tex]17^{2} = 289\\15^{2} + 8^{2} = 225 + 64\\15^{2} + 8^{2} = 289\\15^{2} + 8^{2} = 17^{2}[/tex]
3. 5, 10, 12
[tex]12^{2} = 144\\5^{2} + 10^{2} = 25 + 100\\5^{2} + 10^{2} = 125\\5^{2} + 10^{2} \neq 12^{2}[/tex]
4. 7, 24, 25
[tex]25^{2} = 625\\7^{2} + 24^{2} = 49 + 576\\7^{2} + 24^{2} = 625\\7^{2} + 24^{2} = 25^{2}[/tex]
5. 10, 12, 16
[tex]16^{2} = 256\\10^{2} + 12^{2} = 100 + 144\\10^{2} + 12^{2} = 244\\10^{2} + 12^{2} \neq 16^{2}[/tex]
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Jawab:
B. 1, 2, dan 4
Penjelasan dengan langkah-langkah:
Triple pythagoras berarti tiga buah bilangan a, b, c memenuhi syarat
[tex]c^{2} = a^{2} + b^{2}[/tex]
1. 3, 4, 5
[tex]5^{2} = 25\\3^{2} + 4^{2} = 9 + 16\\ 3^{2} + 4^{2} = 25\\3^{2} + 4^{2} = 5^{2}[/tex]
2. 15, 8, 17
[tex]17^{2} = 289\\15^{2} + 8^{2} = 225 + 64\\15^{2} + 8^{2} = 289\\15^{2} + 8^{2} = 17^{2}[/tex]
3. 5, 10, 12
[tex]12^{2} = 144\\5^{2} + 10^{2} = 25 + 100\\5^{2} + 10^{2} = 125\\5^{2} + 10^{2} \neq 12^{2}[/tex]
4. 7, 24, 25
[tex]25^{2} = 625\\7^{2} + 24^{2} = 49 + 576\\7^{2} + 24^{2} = 625\\7^{2} + 24^{2} = 25^{2}[/tex]
5. 10, 12, 16
[tex]16^{2} = 256\\10^{2} + 12^{2} = 100 + 144\\10^{2} + 12^{2} = 244\\10^{2} + 12^{2} \neq 16^{2}[/tex]