Posted by **Lian** on Thursday, November 24, 2011 at 7:24am.

The corners of the square, 2m. sides, are cut off to form a regular octagon. What is the length of the side of the resulting octagon?

- geometry -
**Reiny**, Thursday, November 24, 2011 at 8:39am
draw the top part of the cut-off

let each side of the octagon be x m

let the amount that has to be cut off be y

I see a right-angled triangle with hypotenuse x and the other 2 sides are y

x^2 = y^2 + y^2

x^2 = 2y^2

x = 2√y or y = x/√2

now along the top of the original square:

y + x + y = 2

x/√2 + x + x/√2 = 2

times √2

x + √2x + x = 2√2

x(√2+2) = 2√2

x = 2√2/(√2+2)

rationalizing:

x= 2√2/(√2+2) * (√2-2)/(√2-2)

= 2√2 - 2 or appr 0.8284

- LIAN!!! - geometry -
**Reiny**, Thursday, November 24, 2011 at 8:44am
I just noticed that you posted this same question 9 times !

and it had already been answered.

Very annoying.

Don't you check back to see if somebody answered your earlier question??

- geometry -
**Lian**, Thursday, November 24, 2011 at 9:09am
i didn't know i posted it 9 times. i always check back the page if my question is answered. hahaha. i keep on refreshing it. lol. THANK YOU SO MUCH!!

- geometry -
**Steve**, Thursday, November 24, 2011 at 7:28pm
Hmmm. A good lesson. We have been attributing to malice what was done in ignorance.

So, Lian, once the question is posted, go back to the main list, and click in your link. Then you can refresh the page without reposting the question.

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