SOLUTION: make a regular hexagon of sides as you wish and divide them into six equilateral triangles and find its area ?

Question 196955: make a regular hexagon of sides as you wish and divide them into six equilateral triangles and find its area ?
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

We draw the hexagon:
--->
The interior angles in the center measure 60 deg. =>

Being Equilateral, all interior angles are 60 deg.

Let us isolate 1 Triangle:

As you can see, we make all sides equal to 2 units.

Woking Eqn, ,where

Solving "h" via Pyth Theorem:

Going Back Working Eqn:

, sq.units
And there are 2 Right Triangles for 1 Equilateral Triangle. Therefore,

----> There are 6 Equilateral Triangles:

sq.units (Answer)

We can also do it by Trigo function since we know the interior angles.
--->

Or,

Just do the same we did for Area of Triangle above.

Thank you,
Jojo

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