Question

Using determinants, find the area of the triangle whose vertices are (0,0),(4,3) and (8,0).

Answer 1

The area of the triangle is 12 square units

Step-by-step explanation:

To find the area of a triangle using determinants, we can use the formula:

Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

Using the given vertices (0,0),(4,3), and (8,0), we can substitute these values into the formula and calculate the area.

Area = 1/2 * |0(3 - 0) + 4(0 - 0) + 8(0 - 3)| = 1/2 * |-24| = 12 square units