- 20 Feb '07 19:58

A regular hexagon with each side = 1 cm consist of 6 equilateral triangles with sides 1 cm. Each triangle have an area of sqrt(3)/4 = 0.43 giving the hexagon an area of 6 * sqrt(3)/4 = 2.60*Originally posted by GinoJ***One of the sides of a regular hexagon is 1cm. Find the area of the hexagon.**

Show your work.

Near enough? - 20 Feb '07 20:05 / 1 edit

The answer is a "natural number" if I must give a clue. [edit]Il also has an extremely short solution.*Originally posted by FabianFnas***A regular hexagon with each side = 1 cm consist of 6 equilateral triangles with sides 1 cm. Each triangle have an area of sqrt(3)/4 = 0.43 giving the hexagon an area of 6 * sqrt(3)/4 = 2.60**

Near enough? - 20 Feb '07 20:28 / 1 edit

There's no chance it's a positive integer. The area is (3/2)*SQRT(3), as reported (rounded) above. No matter how many times you multiply an irrational number by a rational one (other than 0 of course), you'll never get a positive integer.*Originally posted by GinoJ***0,1,2,3,4,5,6,7,8,9 etc...**

[edit] Eliminate 0.

So, another clue: It's a positive integer. - 20 Feb '07 20:41 / 1 edit

This is correct, I'm not quite sure why GinoJ thinks that it's not. Perhaps, Gino, you can show us your idea? According to what I'm learning at school, Fabian gave a fully correct answer. That is the way how this exercise should be solved. Perhaps you didn't mean a hexagon but a polygon with different number of sides.*Originally posted by FabianFnas***A regular hexagon with each side = 1 cm consist of 6 equilateral triangles with sides 1 cm. Each triangle have an area of sqrt(3)/4 = 0.43 giving the hexagon an area of 6 * sqrt(3)/4 = 2.60**

Near enough? - 20 Feb '07 20:46

Are you blind?*Originally posted by kbaumen***This is correct, I'm not quite sure why GinoJ thinks that it's not. Perhaps, Gino, you can show us your idea? According to what I'm learning at school, Fabian gave a fully correct answer. That is the way how this exercise should be solved. Perhaps you didn't mean a hexagon but a polygon with different number of sides.**