GIVING BRAINLIEST ..Can somebody help me (explain your answer)

13.04 units to the nearest hundredth.

Step-by-step explanation:

Use the Pythagoras theorem:

c^2 = a^2 + b^2  where a, b and c are the sides of  a right triangle with c the hypotenuse.

In our triangle ( x = length of the hypotenuse):

x^2 = 13^2 + 1^2

x^2 = 169 + 1 = 170

x = √170

= 13.04.

If we are doing this mentally the best we can do is say that the hypotenuse is a small amount greater than 13.