3 years ago

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

Mathematics

1 answer:

Maslowich3 years ago

6 0

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).

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