(c) 3 : 2
Median of an equilateral triangle = \(\frac{\sqrt2}{2}\) x side
Let the sides of the two equilateral triangles be a1 and a2 respected. Then,
\(\frac{\frac{\sqrt3}{2}a_1}{\frac{\sqrt3}{2}a_2}\) = \(\frac32\) ⇒ \(\frac{a_1}{a_2}\) = \(\frac32\).