Hi there! The answer is 3 multiplied by the square root of 13.
Using the following theorem (Pythagorean Theorem), with a and b representing rectangular sides and c representing the hypotenuse, and the numbers from the picture, we get the following:
[tex] {a}^{2} + {b}^{2} = c {}^{2} [/tex]
Fill in the numbers
[tex] {6}^{2} + { 9}^{2} = c {}^{2} [/tex]
Work out the powers
[tex]36 + 81 = {c}^{2} [/tex]
Add up
[tex] {c}^{2} = 117[/tex]
Take the square root of both sides.
[tex]c = \sqrt{117} = 3 \sqrt{13} [/tex]
