A triangle within a hexagon

Geometry Level 3

A regular hexagon with side length 1 1 is cut up into triangles.

what is the area of the R E D \color{#D61F06}{RED} region?

round to the nearest hundreths


The answer is 0.08.

Brack Harmon by Brack harmon , 18, USA

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1 solution

Brack Harmon
May 13, 2018

Area of a regular trianle: s 2 3 4 \frac{s^{2}\sqrt{3}}{4}

side = . 25 s q r t 3 .25sqrt{3}

A = . 25 3 2 3 4 = 0.0811... \frac{.25\sqrt{3 }^{2}\sqrt{3}}{4} = \boxed{0.0811...}

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