Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

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.

Related questions

See all questions in Area of a Triangle

Impact of this question

5476 views around the world

You can reuse this answer
Creative Commons License