Answer:
The length of c [tex]=\sqrt{58}[/tex] cm.
Step-by-step explanation:
Considering the figure of right triangle attache below.
For a right angled triangle with sides [tex]a[/tex] and [tex]b[/tex], the hypotenuse [tex]c[/tex] is defined as
[tex]c=\sqrt{a^2+b^2}[/tex]
[tex]c=\sqrt{3^2+7^2}[/tex]
[tex]c=\sqrt{58}[/tex] cm
Therefore, the length of c [tex]=\sqrt{58}[/tex] cm.