Odpowiedź:
1.
[tex] a= 6 \\ b = x \\ c = 10 \\ {6}^{2} + x^{2} = {10}^{2} \\ {x}^{2} = {10}^{2} - {6}^{2} \\ {x}^{2} = 100 - 36 \\ x = 8[/tex]
2.
[tex]a = x \\ b = \sqrt{3} \\ c = 2 \sqrt{6} \\ {x}^{2} + \sqrt{3^{2} } = \sqrt{24}^{2} \\ x^{2} = 24 - 3 \\ x = \sqrt{21} [/tex]
3.
[tex]a = 10 \\ b = 5 \sqrt{2} \\ c = x \\ 10 ^{2} + {5 \sqrt{2} }^{2} = {x}^{2} \\ 100 + 50 = {x}^{2} \\ x = \sqrt{150} = 5 \sqrt{6} [/tex]
4.
[tex]a = x \\ b = 12 \\ c = 10 \sqrt{3} \\ {x}^{2} + {12}^{2} = {10 \sqrt{3} }^{2} \\ x^{2} = 300 - 144 \\ {x} = \sqrt{156} = 2 \sqrt{39} [/tex]
5.
[tex]a = 4 \sqrt{3} \\ b = 2 \\ c = x \\ {4 \sqrt{3} }^{2} + 2^{2} = {x}^{2} \\ 48 + 4 = x {}^{2} \\ x = \sqrt{52} = 2 \sqrt{13} [/tex]
6.
[tex]a = x \\ b = 4 \sqrt{5} \\ c =12 \\ x^{2} + {4 \sqrt{5} }^{2} = {12}^{2} \\ {x}^{2} = 144 - 80 \\ x = 8[/tex]
