Question

William likes to play with the yellow regular hexagons. The hexagon has sides
that are each one unit in length. He knows he can separate one hexagon into
equilateral triangles that also have sides one unit in length.
How many equilateral triangles will be needed?
Show how.

Using other polygons, how else can the hexagon be separated?
Show the other possibilities and explain.

Answer 1

6 equilateral triangles needed to form Regular Hexagon

Step-by-step explanation:

Central angle = 360°

Equilateral triangle angle = 60°  

Hence number of Equilateral   triangles  required  =  360°/60°  = 6

6 equilateral triangles will be needed

Hexagon can be sepearted in two  Trapeziun

Hexagon can be separated into  a Pentagon & triangle

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