Respuesta :

Answer:

[tex]c = \sqrt{52}[/tex]

Step-by-step explanation:

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c^{2} = 4^{2} + 6^{2}[/tex]

[tex]c^{2} = 16 + 36\\[/tex]

[tex]c^{2} = 52[/tex]

[tex]\sqrt{c^{2} } = \sqrt{52}[/tex]

[tex]c = \sqrt{52}[/tex]