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  1. The median of an equilateral triangle is 6√3 cm. The area (in cm2) of the triangle is
    1. 72
    2. 108
    3. 72√3
    4. 36√3
Correct Option: D

Using Rule 6,

AB = BC = AC = a cm AD = Median = 6√3 cm.

3
a = 6√3
2

⇒ a =
6√3 × 2
= 12 cm.
3

∴ Area of ∆ABC =
3
× side² =
3
× 12 × 12
44

= 36√3 sq. cm.



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