Question

Find area of regular hexagon formula using
1/2 (n*s)(a)
but first find apothem by using the 30-60-90 triangle

Answer 1

So need help finding the apothem first of all?

Answer 2

yes

Answer 3

Recall that a polygon has interior angles totaling \(\Large\bf\sf (n-2)\cdot 180\) degrees. Where n is the number of sides.

So for a hexagon, (6-2)*180 = 720.
Dividing that evenly between 6 angles means that each angle measures 120 degrees.

Answer 4

If we cut that angle in half, we get a 60 degree angle.