Question

12. If the length of a median of an equilateral triangle is x cm, then its area is -
please answer step wise​

Answer 1

(30–60–90 theorem OR applying sin 60).

OR x = root3/2 x side

OR side = 2x/root3.

Also, Area of an equilateral

triangle = root3/4 x (side^2)= root3/4 x (2x/root3)^2

= root3/4 x (4x^2/3) = x^2/root3