Respuesta :
Answer:
34
Step-by-step explanation:
The Pythagorean Theorem states: [tex]a^{2} + b^{2} =c^{2}[/tex]. What this means is that on a right triangle, like the one you have here, if you square the lines that are adjacent to the right angle, and add them, you get the hypotenuse squared. You can then take the square root of that number, and that leaves you with the hypotenuse.
So what does that mean? The equation would look something like this:
[tex]30^{2} +16^{2} =c^2[/tex]
Well, if we solve the squares, then we get something like this:
[tex]900 +256 = c^2[/tex]
Then that equals:
[tex]1156 = c^{2}[/tex]
Therefore, we can take the square root of 1156 to get 34.
[tex]34=c[/tex]
Hope that this helps!