Odpowiedź:
zad.1
a)
[tex]3^{2} +4^{2} =x^{2} \\x^{2} =9+16\\x^{2} =25\\x=5[/tex]
b)
[tex]15^{2} +20^{2} =x^{2} \\x^{2} =225+400\\x^{2} =625\\x=25[/tex]
c)
[tex]5^{2} +12^{2} =x^{2} \\x^{2} =25+144\\x^{2} =169\\x=13[/tex]
zad.2
a)
[tex]2^{2} +4^{2} =x^{2} \\x^{2} =16+4\\x^{2} =20\\x=2\sqrt{5} \\Obw=2+4+2\sqrt{5} =6+2\sqrt{5}[/tex]
b)
[tex]4^{2} +6^{2} =x^{2} \\x^{2} =16+36\\x^{2}= 54\\x=3\sqrt{6} \\Obw=4+6+3\sqrt{6} =10+3\sqrt{6}[/tex]
c)
[tex]7^{2} +24^{2} =x^{2} \\x^{2} =49+576\\x^{2} =625\\x=25\\Obw=7+24+25=56[/tex]
Szczegółowe wyjaśnienie:
