Answer:
C. [tex]\sqrt{89}[/tex] 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.
[tex]\sqrt{89}[/tex] = c
9.43398113 = c
So, the answer is C. [tex]\sqrt{89}[/tex] cm
