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Area of Triangle

The area of a triangle, the coordinates of whose vertices are (x1, y1), (x2 , y2), and (x3, y3), is
69957.png[x1 (y2y3) + x2 (y3y1) + x3 (y1y2)]
= 69951.png

 

Notes:
  • Area of a triangle can also be found by easy method, i.e., Stair method.
 
⇒ 70446.png
  • Area of polygon: The area of polygon whose vertices are (x1y1), (x2y2), (x3,y3), …, (xnyn) is = |{(x1y2 – x2y1) + (x2y3 – x3y2) + … + (xny1 – x1yn)}|
Stair method:
 
⇒ Area of polygon
70439.png
 
Note that points should be taken in cyclic order in coordinate plane.




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