Question

Will give brainliest to correct answer.

Answer 1

Hello!

To solve this we can use the Pythagorean Theorem, which is a²+b²=c², where a and b represent the legs, and c represents the hypotenuse.

36+81=117
√117≈10.82

Now we find the values of each of our answers and see which one matches.

3√13≈10.82

We can see that our correct answer is 3√13.

I hope this helps!

Answer 2

Use the a² + b² =  c² formula, in which c² is the hypotenuse

Let a = 6
Let b = 9

Plug in to corresponding place.

6² + 9² = c²

Simplify

36 + 81 = c²

117 = c²

Isolate the c, root both sides

√c² = √117

c = √117

Simplify:

c = 3√13, or 10.817 (rounded).


hope this helps