Question

Question 3 (Mandatory) (1 point) Saved

The vertices of the triangle shown below are (-2, 2), (4, -1), and (-2, -3).
What is the area of the triangle?

Answer 1

The answer to your question is 15 u²

Explanation:

Data

A (-2, 2)

B (4, -1)

C (-2, -3)

Area = ?

Process

1.- To solve this problem use determinants

| -2 2 |

Area = 1/2 | 4 -1 | = 1/2 [ (-2 x -1) + (4 x -3) + (-2 x 2) - (-2 x -3) - (-2 x -1)

| -2 - 3 | - (4 x 2)]

| -2 2|

= 1/2 [ 2 - 12 - 4 - 6 - 2 - 8]

= 1/2[ -30]

= 1/2(30)

= 15 u²