Explicação passo-a-passo:
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Primeiramente calculamos as coordenadas do ponto médio entre A(2, 4) e B(0, -6).
[tex]x_{m} =\dfrac{x_{a}+x_{b}}{2}\\\\x_{m} =\dfrac{2+0}{2} \\\\x_{m} =\dfrac{2}{2}\\\\\boxed{x_{m} =1}\\\\y_{m} =\dfrac{y_{a}+y_{b}}{2}\\\\y_{m} =\dfrac{4-6}{2} \\\\y_{m} =\dfrac{-2}{2}\\\\\boxed{y_{m} =-1}\\\\\boxed{M(1,-1)}[/tex]
Calculando a distância entre o ponto C(1, 3) e o ponto M(1, -1):
[tex]\overline{CM}=d_{C,M}\\\\\overline{CM}=\sqrt{(x_{c} -x_{m} )^{2}+(y_{c} -y_{m} )^{2} } \\\\\overline{CM}=\sqrt{(1 -1 )^{2}+(3 -(-1) )^{2} } \\\\\overline{CM}=\sqrt{0^{2}+4^{2} }\\\\\overline{CM}=\sqrt{16 }\\\\\boxed{\boxed{\overline{CM}=4}}[/tex]
