Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

Login

Username

Password

Not registered yet?

#1 2014-01-12 18:34:15

thedarktiger
Full Member

Offline

Geometry problem

In hexagon ABCDEF, AB = DE = 2, BC = EF = 4, CD = FA = 6, and all the interior angles are equal. Find the area of hexagon ABCDEF.
I cannot find any theorems or anything for that area...please explain...AND THX wink


Batman shows Superman his new phone. Batman-"Alfred, whats the temperature in London?"
Alfred-"Just a second, sir." Alfred turns on his iPhone."Siri, whats the temperature in London?"
Siri - "Six centigrade." Alfred-"Six centigrade sir." Batman-"See?"

#2 2014-01-12 19:54:54

bob bundy
Moderator

Offline

Re: Geometry problem

hi

Don't know if this is the quickest way but it should work.

Box in the hexagon as shown in my diagram.  (All the angles are 120)

Use trig to calculate the length and width of the box.

Calculate its area and subtract the areas of the unwanted triangles.

Bob


Uploaded Images
View Image: thedarktiger2.gif      


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

#3 2014-01-12 21:12:48

bobbym
Administrator

Offline

Re: Geometry problem

Hi;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#4 2014-01-12 21:29:02

thedarktiger
Full Member

Offline

Re: Geometry problem

Thanks guys! actually you don't have use trig, the triangles are 30-60-90, so sides are 2:1:sqrt(3)
Thanks a ton! wouldn't have got without ya!
I got that too bobbym.

Last edited by thedarktiger (2014-01-12 21:30:02)


Batman shows Superman his new phone. Batman-"Alfred, whats the temperature in London?"
Alfred-"Just a second, sir." Alfred turns on his iPhone."Siri, whats the temperature in London?"
Siri - "Six centigrade." Alfred-"Six centigrade sir." Batman-"See?"

#5 2014-01-12 21:34:35

bobbym
Administrator

Offline

Re: Geometry problem

Hi;

Very good! Well done.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#6 2014-01-13 05:04:59

bob bundy
Moderator

Offline

Re: Geometry problem

thedarktiger wrote:

you don't have use trig, the triangles are 30-60-90, so sides are 2:1:sqrt(3)

Hhhmmm.  And where did that result come from,  I wonder?  smile

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

Board footer

Powered by FluxBB