Determinants are used to find the area of a triangle whose vertices are given by three points in a rectangular coordinate system. The area of a triangle with vertices (x_1, y₁), (x₂ , y₂), and (x₃ , y₃) is

where the ± { symbol indicates that the appropriate sign should be chosen to yield a positive area. Use this information to work Exercises 49–50.

Use determinants to find the area of the triangle whose vertices are (1, 1), (-2, -3), and (11, -3).

Transcribed Image Text:

Area = 1+ 1 2 X1 Y1 X2 Y2 X3 X3 1 1 1