XY Plane Triangle Area Calculator

 
Coordinates (x1, y1)
Coordinates (x2, y2)
Coordinates (x3, y3)
Area  =  27
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GENERATE WORK
GENERATE WORK

Area of Triangle on XY Plane - work with steps

Input Data :
Coordinates 1 (x1, y1) = (2, 4)
Coordinates 2 (x2, y2) = (3, -6)
Coordinates 3 (x3, y3) = (7, 8)

Objective :
Find what is the area of triangle on XY plane?

Formula :
Area = 12[x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]

Solution :
Area = 12[2(-6 - 8) + 3(8 - 4) + 7(4 + 6)]
= 12[2(-14) + 3(4) + 7(10)]
= 12(-28 + 12 + 70)
= 12(54)
Area = 27

XY co-ordinates Triangle Area Calculator is the geometry tool to find the area of the triangle by the given three points (x1,y1), (x2,y2) and (x3,y3). When the triangle points are provided in XY co-ordinates like in the image below instead of provided in horizontal and vertical line, this calculator can be used to calculate the area of a triangle by using the given 3 points of the triangle in the XY co-ordinates.
The Triangle in the XY coordinate
XY coordinate Triangle

The formula to calculate the area of a triangle in XY plane
triangle area calculation by given 3 XY coordinate points formula