A geometry problem by A Former Brilliant Member

Geometry Level 4

note that the figure is not drawn to scale


The answer is 672.

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1 solution

Maria Kozlowska
Nov 19, 2016

Points H , E H, E are equidistant from B C BC which means that point E E lies on the circumcircle. This means that O E = R 2016 R 3 O E = 672 OE=R \Rightarrow \dfrac{2016*R}{3*OE}=\boxed{672} .

Wonderful solution Great I admire it

A Former Brilliant Member - 4 years, 6 months ago

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Why did you not directly write 672(R/OE) in the question?

Indraneel Mukhopadhyaya - 4 years, 6 months ago

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hahah because the year is 2016

Vishwash Kumar ΓΞΩ - 4 years, 6 months ago

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