Galina is finding the area of triangle RST. To do so, she follows the steps in the table. Step 1 Draw a rectangle around triangle RST. Step 2 Find the area of the rectangle. Step 3 Find the area of the three right triangles created by the sides of the rectangle and the intersection with each vertex of the triangle. Step 4 Subtract the area of the right triangles from the area of the rectangle. To solve the problem using these steps, what are the dimensions of the rectangle she should draw?
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parallel quadrilateral
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In the given question, the area of the triangle is obtained by subtracting the areas of the right triangles from the area of the rectangle.
Thus, the rectangle that she should draw around the triangle should be such that
- one of the sides of the triangle is also the side of the rectangle
- the opposite vertex should lie on the opposite side of the rectangle
- the second side of the rectangle should be the perpendicular distance between the common side and opposite vertex
(See attached figure)
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