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ratio wanted, 5 congruent regular pentagons inside a regular pentagon

Source: 2019 XXIV All-Ukrainian Correspondence MO grades 5-12 p8

April 29, 2021

ratioRegularpentagongeometryUkraine Correspondence

Problem Statement

The symbol of the Olympiad shows

5

regular hexagons with side

a

, located inside a regular hexagon with side

b

. Find ratio

\frac{a}{b}

. https://1.bp.blogspot.com/-OwyAl75LwiM/YIsThl3SG6I/AAAAAAAANS0/LwHEsAfyZMcqVIS8h_jr_n46OcMJaSTgQCLcBGAsYHQ/s0/2019%2BUkraine%2Bcorrespondence%2B5-12%2Bp8.png

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