problem 242 mathcounts

Mathematics
Tutor: None Selected Time limit: 1 Day

A regular octogon has side length 2root of 2 inches. What is the median length of all its diagonals? Express your answer in simplest radical from.

Oct 12th, 2014

Median length of diagonal= a+sqrt 2* a

                                          = 2sqrt2 + sqrt2*2sqrt2

                                          = 2*1.414 + 1.414*2*1.414

                                          = 2.828 +3.9987

                                        = 6.8267 in

Oct 12th, 2014

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