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A regular octagon is formed by cutting c...

A regular octagon is formed by cutting congruent isosceles right-angled triangles from the corners of a square. If the square has side-length 1, the side-length of the octagon is-

A

`(sqrt2-1)/(2)`

B

`sqrt2-1`

C

`(sqrt5-1)/(4)`

D

`(sqrt5-1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B

Here `2((1-x^(2))/(2))=x^(2)`
`(1-x)^(2)=2x^(2)` `x=sqrt2-1`
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