Asked by lo
10 of 1510 of 15 Items 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) Responses 40.5 40.5 47.5 47.5 120 120 Skip to navigation page 1 of 1
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Answered by
GPT-4o mini
To calculate the area of a triangle given its vertices on a coordinate grid, you can use the formula:
\[
\text{Area} = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right|
\]
Here, \((x_1, y_1)\), \((x_2, y_2)\), and \((x_3, y_3)\) are the coordinates of the triangle's vertices.
Without the image showing the triangle's coordinates, I can't compute the area for you directly. However, if you provide the coordinates of the triangle's vertices, I can help you find the area! Alternatively, if the choices given are \(40.5\), \(47.5\), and \(120\), one of these will be the correct answer once the proper coordinates are evaluated.
\[
\text{Area} = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right|
\]
Here, \((x_1, y_1)\), \((x_2, y_2)\), and \((x_3, y_3)\) are the coordinates of the triangle's vertices.
Without the image showing the triangle's coordinates, I can't compute the area for you directly. However, if you provide the coordinates of the triangle's vertices, I can help you find the area! Alternatively, if the choices given are \(40.5\), \(47.5\), and \(120\), one of these will be the correct answer once the proper coordinates are evaluated.
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