Question

Find the area of the triangle whose vertices are (2, 3); (-1, 0); (2, -4)...

[Also show the steps of the solution]
Please answer correctly, it's really urgent!​

Answer 1

Area = 14.5

Explanation:

Let's label the given coordinates A, B, C;

Thus;

A = (2, 3)

B = (-1, 0)

C = (2, -4)

From the coordinate geometry formula, the formula for area of a triangle with 3 vertices is;

Area = [Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2

Area = [2(0 - (-4)) + (-1)(-4 - 3) + 2(3 - (-4))]/2

Area = 29/2

Area = 14.5