20 Feb 07
Originally posted by GinoJA 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
One of the sides of a regular hexagon is 1cm. Find the area of the hexagon.
Show your work.
Near enough?
20 Feb 07
1 edit
Originally posted by FabianFnasThe answer is a "natural number" if I must give a clue. [edit]Il also has an extremely short solution.
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
1 edit
Originally posted by GinoJThere'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.
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
1 edit
Originally posted by FabianFnasThis 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.
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
Originally posted by kbaumenAre you blind?
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.