2019.8

Part of Ukraine Correspondence MO - geometry

Problems(1)

ratio wanted, 5 congruent regular pentagons inside a regular pentagon

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

The symbol of the Olympiad shows

5

regular hexagons with side

a

, located inside a regular hexagon with side

b

\frac{a}{b}

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

ratioRegularpentagongeometryUkraine Correspondence