Use the image to answer the question.

Question

A triangle is graphed by joining three plotted points on a coordinate plane. The x-axis ranges from negative 10 to 10 in increments of 2 and the y-axis ranges from negative 4 to 10 in increments of 2.

Peeta draws a triangle on the coordinate grid. What is the area of their triangle in square units?

(1 point)
Responses

65
65

120
120

40.5
40.5

47.5

Answer 1

To calculate the area of a triangle given its vertices on a coordinate plane, we 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.

However, since I cannot see the image from your description, I am unable to provide the calculation based on actual vertex coordinates. If you can provide the coordinates of the three vertices of the triangle, I can help you compute the area.