ratio of areas problem

Geometry Level 1

Four identical equilateral triangles are arranged as shown so that a square is formed at the center. Find the ratio of the area of the square to the areas of the four equilateral triangles.

\dfrac{1}{\sqrt{3}}

\dfrac{1}{3}

\dfrac{1}{\sqrt{2}}

\dfrac{1}{5}

1 solution

Aaryan Maheshwari
Dec 15, 2017

$a^2:4\times\dfrac{\sqrt{3}}{4}\space a^2$ $=a^2:\sqrt{3}a^2$ $=\boxed{1:\sqrt{3}}$

ratio of areas problem

1 solution

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