How to find area of triangle from its medians?

Question

The length of three medians of a triangle are $9$,$12$ and $15$cm.The area (in sq. cm) of the triangle is a) $48$ b) $144$ c) $24$ d) $72$ I don't want whole solution just give me the hint how can I solve it.Thanks.

Answer 1

Area of a triangle is

1/3 times the square root of [2(u²v²+v²w²+w²u²)-(u⁴+v⁴+w⁴)]

where u, v, and w are lengths of the triangle's medians

Let u=9

v=12

w=15

Plug and chug to get the answer