ABCDEFGH is a regular octagon, of side length 1cm. Calculate the exact length of AD. (Please ignore writing in pen)

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22-03-2015
Mathematics

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ABCDEFGH is a regular octagon, of side length 1cm. Calculate the exact length of AD. (Please ignore writing in pen)

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Hippalectryonidn Hippalectryonidn · Answer 1 · 2015-03-22T07:26:16-04:00

Hippalectryonidn Hippalectryonidn

22-03-2015

Let P be the last point in the triangle you have drawn from AB.. It is isosceles and rectangle hence AB^2=2BP^2 hence AP=BP=sqrt(2).

Let Q be the last point in the triangle you have drawn from CD. By the same reasoning, CQ=DQ=sqrt(2)

What is more, AD=AP+PQ+QD=2sqrt(2)+1

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