Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
24th May, 2025

Sir Mike Ambrose is the author of the question.

Let the side of the regular hexagon be 1 unit.


Therefore;


Length Blue is;


√(2-2cos108)


= 1.61803398875 unit.


Length Red is;


√(1²+(0.48469364308)²-(2*1*0.48469364308cos168))


= 1.4775424785 unit.


It implies;


Length Red ÷ Length Blue to 2 decimal places is;


1.4775424785 ÷ 1.61803398875


= 0.91317147153


≈ 0.91

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