The length of three medians of a triangle are $9$,$12$ and $15$cm.The area (in sq. cm) of the triangle is
I don't want whole solution just give me the hint how can I solve it.Thanks.
You know that medians divide a triangle to 6 equal areas. If you find one of them, multiplying with 6 give you the area of whole triangle. Let's denote one area as $S$, now see the figure:
I guess you saw the right triangle.
there is a direct formula. let s be there. s= (m1+m2+m3)/2 area= square_root(s*(s-m1)(s-m2)(s-m3));
this gives answer of above ques as 72.