Question

Question is below in picture.

Answer 1

Answer:

C. $\sqrt{89}$ cm

Step-by-step explanation:

First, we can start out by stating that this is a right triangle, since it has a right angle, shown by the marker square in the corner of the triangle. The x part, is called the hypotenuse. When finding the value of the hypotenuse, we use a thing called the Pythagorean Theorem. This theorem is :

a^2 + b^2 = c^2

a is one side length, and b is the other. c is the hypotenuse. To find x, the hypotenuse, we simply plug in the values, and solve.

8^2 + 5^2 = c^2

64 + 25 = c^2

89 = c^2

To get c alone, we do the square root of 89.

$\sqrt{89}$ = c

9.43398113 = c

So, the answer is C. $\sqrt{89}$ cm