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Answer :
The area of the triangle in this coordinate plane with vertices at (0, 0), (4, 0), and (0, 7) is 14 units².
To find the area of a triangle in a coordinate plane, we can use the formula:
Area = 0.5 * base * height
In this case, the base is the distance between the points (0, 0) and (4, 0), which is 4 units. The height is the distance between the point (0, 0) and the line containing the point (0, 7).
The line containing the point (0, 7) is vertical and parallel to the y-axis, so the height is simply the y-coordinate of the point (0, 7), which is 7 units.
Plugging these values into the formula, we have:
Area = 0.5 * 4 * 7
= 14 units²
Therefore, the area of the triangle is 14 units².
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--The complete Question is, Consider a triangle in a coordinate plane with vertices at (0, 0), (4, 0), and (0, 7). What is the area of the triangle? --
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