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Use the image to answer the question. Amaury draws an acute triangle on the coordinate grid. He finds the area of the triangle by drawing a rectangle that circumscribes the triangle and forming right triangles. How can Amaury find the area of the triangle? What is the area of the triangle in square units? (4 points)

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To find the area of an acute triangle inscribed in a rectangle, Amaury can use the following steps:

  1. Identify the coordinates of the vertices of the triangle. Let's assume the vertices are \(A(x_1, y_1)\), \(B(x_2, y_2)\), and \(C(x_3, y_3)\).

  2. Use the formula for the area of a triangle based on the coordinates of its vertices: \[ \text{Area} = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right| \]

  3. Calculate the area using the coordinates of points \(A\), \(B\), and \(C\). Substitute the \(x\) and \(y\) values into the formula to get the area in square units.

If you can provide specific coordinates for the triangle's vertices, I can help you perform the calculation. Otherwise, the above method is how Amaury can find the area of the triangle.

If you would like an example or know the coordinates, please share them!