iran-konkur 2014 Q125

iran-konkur · Other · konkur-riazi_1393 Not Maths
125. In an equilateral triangle, two squares are constructed on two of its sides. The area of the shaded triangles is how many times the area of the original triangle?
[Figure: Equilateral triangle with squares on two sides and shaded regions]
(1) $\dfrac{\sqrt{3}}{2}$ (2) $\dfrac{2\sqrt{3}}{3}$ [6pt] (3) $1$ (4) $\sqrt{3}$
\textbf{125.} In an equilateral triangle, two squares are constructed on two of its sides. The area of the shaded triangles is how many times the area of the original triangle?

\textit{[Figure: Equilateral triangle with squares on two sides and shaded regions]}

\vspace{0.3cm}
(1) $\dfrac{\sqrt{3}}{2}$ \hfill (2) $\dfrac{2\sqrt{3}}{3}$ \\[6pt]
(3) $1$ \hfill (4) $\sqrt{3}$

\vspace{0.5cm}