Explicação passo-a-passo:
[tex]a) \: a {}^{2} = b {}^{2} + c {}^{2} \\ 10 {}^{2} = x {}^{2} + 6.3 {}^{2} \\ 100 = x {}^{2} + 39.69 \\ 100 - 39.69 = x {}^{2} \\ x {}^{2} = 60.31 \\ x = \sqrt{60.31} \\ x = 7.76 \\ \\ b)a {}^{2} = b {}^{2} + c {}^{2} \\ 9 {}^{2} = x {}^{2} + 6.7 {}^{2} \\ 81 = x {}^{2} + 44.89 \\ 81 - 44.89 = x {}^{2} \\ x {}^{2} = 36.11 \\ x = \sqrt{36.11} \\ x = 6.00 \\ \\ c)a {}^{2} = b {}^{2} + c {}^{2} \\ 12 {}^{2} = 8 {}^{2} + x {}^{2} \\ 144 = 64 + x {}^{2} \\ 144 - 64 = x {}^{2} \\ x {}^{2} = 80 \\ x = \sqrt{80} \\ x = 8.94[/tex]
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Explicação passo-a-passo:
[tex]a) \: a {}^{2} = b {}^{2} + c {}^{2} \\ 10 {}^{2} = x {}^{2} + 6.3 {}^{2} \\ 100 = x {}^{2} + 39.69 \\ 100 - 39.69 = x {}^{2} \\ x {}^{2} = 60.31 \\ x = \sqrt{60.31} \\ x = 7.76 \\ \\ b)a {}^{2} = b {}^{2} + c {}^{2} \\ 9 {}^{2} = x {}^{2} + 6.7 {}^{2} \\ 81 = x {}^{2} + 44.89 \\ 81 - 44.89 = x {}^{2} \\ x {}^{2} = 36.11 \\ x = \sqrt{36.11} \\ x = 6.00 \\ \\ c)a {}^{2} = b {}^{2} + c {}^{2} \\ 12 {}^{2} = 8 {}^{2} + x {}^{2} \\ 144 = 64 + x {}^{2} \\ 144 - 64 = x {}^{2} \\ x {}^{2} = 80 \\ x = \sqrt{80} \\ x = 8.94[/tex]