Answer:
The answer is approximately 24.041 inches (round to the nearest tenth, hundredth, or thousandth if it is indicated in the instructions.)
Step-by-step explanation:
First, I figured out what the square root of 289 is. The square root of 289 is 17.
Given that this is a square we are dealing with, we can assume that all sides are equal.
So, when you draw a diagonal down the square, it becomes two triangles, one of which we can use the Pythagorean theorem for.
a^2 + b^2 = c^2. Thus, 17^2 + 17^2 = 578. The square root of 578 unfortunately does not come out evenly, so we are left with approximately 24.041 inches.
I hope this helps!