Explanation:
Both Lucy and Andra may be correct, depending on how they are measuring the triangle.
In a right triangle, the base and height are defined relative to the orientation of the triangle. The base is the side of the triangle that is perpendicular to the height, and the height is the line segment that is perpendicular to the base and intersects the opposite vertex.
So, if Lucy is measuring the base as the side that is horizontal and Andra is measuring the base as the side that is vertical, they would get different measurements for the base and height. In this case, Lucy would be correct in saying that the base is 5.2 in and the height is 7 in, while Andra would be incorrect.
However, if Andra is measuring the base as the side that is horizontal and Lucy is measuring the base as the side that is vertical, they would get the opposite measurements for the base and height. In this case, Andra would be correct in saying that the base is 7 in and the height is 5.2 in, while Lucy would be incorrect.
Therefore, it is important to clarify the orientation of the triangle when measuring and describing its dimensions.