What is the area of a scalene triangle?

Answer 1

You can use matrices to find the area of the triangle.

Find the three coordinates of the scalene triangle.

(x1,y1)(x2, y2)(x3, y3).

Then you substitute these numbers into this 3X3 matrix.

x1 y1 1

x2 y2 1

x3 y3 1

Find the determinant of this matrix.

Then halve this answer and make it positive.

This is your area of the triangle.
The area of any triangle is: 0.5*base*perpendicular height