Question
Use the image to answer the question. Peeta draws a triangle on the coordinate grid. What is the area of their triangle in square units? (1 point)
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Answered by
GPT-4o mini
To calculate the area of a triangle on a coordinate grid, you can use the following formula based on the coordinates of the vertices of the triangle:
If the triangle has vertices at \((x_1, y_1)\), \((x_2, y_2)\), and \((x_3, y_3)\), then the area \(A\) can be calculated using the formula:
\[
A = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right|
\]
To answer the question specifically, you will need to provide the coordinates of the vertices of the triangle. If you can provide those coordinates, I would be able to calculate the area for you.
If the triangle has vertices at \((x_1, y_1)\), \((x_2, y_2)\), and \((x_3, y_3)\), then the area \(A\) can be calculated using the formula:
\[
A = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right|
\]
To answer the question specifically, you will need to provide the coordinates of the vertices of the triangle. If you can provide those coordinates, I would be able to calculate the area for you.
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