Question

Decompose the regular hexagon into six matching triangles. What is the area of a hexagon?

Answer 1

Answer:

((3√3)/2) * (s^2)

Step-by-step explanation:

A hexagon can be split up into 6 equilateral triangles by drawing a line from a corner to the opposite corner.  The equilateral triangles would have a side length of (if the hexagon has a side length of s) s.  The area of an equilateral triangle is (√3)/4 * s^2.  Multiplying this by 6 gets us ((3√3)/2) * (s^2).