Question

Explain how the formula for the area of a regular polygon is derived from that of a triangle.
I'm so confused with this.

Answer 1

if you'll keep adding triangle at different sides of it you'll get regular ..like this polygon

Answer 2

now summing up the areas of triangle will give you area of regular polygon

Answer 3

Multiply the numerator of \(\frac{bh}{2}\) by n to get \(\frac{nbh}{2}\) which equals \(\frac{Pa}{2}\)

n = number of triangles inside the polygon
nb = Perimeter
h = a = apothem

Answer 4

I know the drawing is poor but what I just attempted to draw is a regular polygon split into triangles