a regular octagon is formed by cutting congruent isoceles traingles from the corners of a square,if the square has side length 1 the side length of the octagon is?

kvpy ques

ABCD is a square of side length 1.

isosceles triangles are cut from the corners.

let AP = x , in the right angled triangle PAW;

WV = 1- (x+x) = 1-2x

since PQRSTUVW is a regular octagon.

therefore PW = WV

thus side length of octagon is units

hope this helps you.


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