Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2014-01-11 19:34:15

thedarktiger
Member
Registered: 2014-01-10
Posts: 83

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


Good. You can read.

Offline

#2 2014-01-11 20:54:54

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,538

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

View Image: thedarktiger2.gif

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

Offline

#3 2014-01-11 22:12:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,886

Re: Geometry problem

Hi;


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#4 2014-01-11 22:29:02

thedarktiger
Member
Registered: 2014-01-10
Posts: 83

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 (2014-01-11 22:30:02)


Good. You can read.

Offline

#5 2014-01-11 22:34:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,886

Re: Geometry problem

Hi;

Very good! Well done.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#6 2014-01-12 06:04:59

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,538

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

Offline

Board footer

Powered by FluxBB