In this lesson, we will learn how to use determinants to calculate areas of triangles and parallelograms given the coordinates of their vertices.
Students will be able to
Q1:
Use determinants to work out the area of the triangle with vertices (2,−2), (4,−2), and (0,2) by viewing the triangle as half of a parallelogram.
Q2:
Find the area of the triangle below using determinants.
Q3:
Use determinants to calculate the area of the parallelogram with vertices (1,1), (−4,5), (−2,8), and (3,4).
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