SOLUTION: the lengths of three medians of a triangle are 9,12 & 15cm. The area of the triangle is

Question 667067: the lengths of three medians of a triangle are 9,12 & 15cm. The area of the triangle is
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

A median in a triangle is a line segment drawn from an angle to the midpoint of the opposite side. The medians of a triangle all intersect in one point. This point divides each median in the ratio .
let be a triangle
if CM[1]=15...it is equal to the hight of triangle , , and
if intersection point of all three medians is , and is median then
.......=> and

and .......=> and
now we can find which is half of base

...........so, the base

then the area will be:

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