Answer
About 5.2 inches
Work Step by Step
The medians of an equilateral triangle split it into six 30 60 90 triangles with a radius for a hypotenuse and an apothem for a short leg.
s=2(a$\sqrt 3$)
s=2(1.5$\sqrt 3$)
s=3$\sqrt 3$$\approx$5.2
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