Answer:
The length of the third side is 34.
Step-by-step explanation:
We use the Pythagorean theorem which says that for a right triangle with sides [tex]a[/tex] and [tex]b[/tex], the hypotenuse [tex]c[/tex] is given by the equation:
[tex]a^2+b^2=c^2[/tex]
In our case
[tex]a=16\\b=30[/tex]
So we have:
[tex]c^2=16^2+30^2=1156[/tex]
[tex]\boxed{c=\sqrt{1156} =34}[/tex]
Which is the third side: the hypotenuse.
