Respuesta :

Step-by-step explanation:

Since we have 90° angle that means that side opposite of it is hypotenuse, so it goes:

a=10cm b=6 c=?

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

[tex] {10}^{2} = {6}^{2} + {c}^{2} \\ \\ 100 = 36 + {c}^{2} \\ \\ {c}^{2} = 100 - 36 \\ \\ {c}^{2} = 64 \\ c = \sqrt{64} \\ c =8[/tex]