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What is the formula of area of triangle in coordinate geometry?

1 Answer

Jul 14, 2015

Suppose a triangle has 3 vertices #(x_1, y_1)#, #(x_2, y_2)# and #(x_3, y_3)#

Let #(u_2, v_2) = (x_2-x_1,y_2-y_1)#

and #(u_3, v_3) = (x_3-x_1,y_3-y_1)#

Then area #= abs(u_2v_3-v_2u_3)/2#

Explanation:

If you have come across it, this is half the absolute value of the cross product of two vectors representing two sides of the triangle.

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