Question

Apothem = (the answer is a sqaure root)

Answer 1

Answer:

$\sqrt{20}$

Step-by-step explanation:

To find the Apothem of a shape, we need to find how long the distance is from a vertex to the center of the shape.

We can see that they've already showed us how to do it: We need to find the length of the hypotenuse of the red triangle.

To do this, we can use the Pythagorean Theorem, which states that $a^2 + b^2 = c^2$.

We know that a is going to be half of 4, which is 2. We also know that b is going to be 4, so we can substitute inside the equation.

$2^2 + 4^2 = c^2\\\\4 + 16 = c^2\\\\20=c^2\\\\c=\sqrt{20}$

Hope this helped!