Help.......... L,M and N are midpoints on sides AB,BC,CA respectively.Area of triangle ABC is 48 units,then find area of triangle LMN......

Question

anonymous · Answer

area of triangle LMN = $$1/2*(64\sqrt{3}/4)*\sqrt{3}/2 = 12$$

king · Answer

please explain fully 
i do not require only answer ........

anonymous · Answer

thats the right answer ...

king · Answer

yeah but i want the explanation as i already know the answer......

anonymous · Answer

The segment joining the midpoints of two sides of a triangle is parallel to the third side and half as long as the third side.

king · Answer

yeah i know that but wat do i do ahead?..

anonymous · Answer

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anonymous · Answer

Since they're all midpointsegments, they're all half the length of the opposing side. What would that do to your area?

anonymous · Answer

Original area is 1/2*A*B
Area of small triangle is 1/2* 1/2A * 1/2B and that is 1/4 of the original area, get it?

king · Answer

oh ohk thanx.......

anonymous · Answer

this triangle is divided into 4 equal parts so area of original triangle divided by 4