What is the area of the triangle in this coordinate plane?

Responses

9.0 units²
9.0 units²

14.0 units²
14.0 units²

16.5 units²
16.5 units²

24.5 units²
24.5 units²
A graph with a triangle drawn on it

1 answer

To find the area of a triangle given its vertices on a coordinate plane, you can use the formula:

\[ \text{Area} = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right| \]

Where \((x_1, y_1)\), \((x_2, y_2)\), and \((x_3, y_3)\) are the coordinates of the triangle's vertices.

Unfortunately, I can't see or directly reference the graph or coordinates of the triangle you're mentioning. If you provide the coordinates of the vertices of the triangle, I can help you calculate the area based on that information.