Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
10th June, 2024

Sir Mike Ambrose is the author of the question.

Let the side of the regular nonagon be 1 unit.


Therefore;


Length Green is;

((1+2sin50)sin20/sin80) + √(1.08506357513²+1²)

= 0.87938524157 + 1.47558902208 

= 2.35497426365 units.


Length Blue is;


√(1.1371580426²+1²-2(1.1371580426)cos100)

= 1.63953019414 units.


It implies;


Length Blue ÷ Length Green to 2 decimal places is;

 1.63953019414 ÷ 2.35497426365

= 0.69619877357 

≈ 0.70

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