King
  • King
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......
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
area of triangle LMN = \[1/2*(64\sqrt{3}/4)*\sqrt{3}/2 = 12\]
King
  • King
please explain fully i do not require only answer ........
anonymous
  • anonymous
thats the right answer ...

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King
  • King
yeah but i want the explanation as i already know the answer......
anonymous
  • anonymous
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
  • King
yeah i know that but wat do i do ahead?..
anonymous
  • anonymous
|dw:1321273278877:dw|
anonymous
  • anonymous
Since they're all midpointsegments, they're all half the length of the opposing side. What would that do to your area?
anonymous
  • anonymous
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
  • King
oh ohk thanx.......
anonymous
  • anonymous
this triangle is divided into 4 equal parts so area of original triangle divided by 4

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