The corresponding height of the given parallelogram is 5.4 units
steps involved:
Given that the basis of the parallelogram RSTU is thought to be the line segment RU with vertices R(1, 1) and U(4, 5).
The parallelogram's top is therefore defined as the line segment ST with vertices S(7, 0) and T(10, 4).
The length of a line with endpoints at RU and ST and that is perpendicular to both RU and ST is the length that corresponds to the parallelogram's height.
Given by is the equation for the line segment RU.
Let the slope of the line perpendicular to line RU be m, then provided that two lines are perpendicular, the product of the slope of the two lines is -1.
Consequently, the equation for the line passing through point (1, 1) and perpendicular to RU is
Therefore, the corresponding height of the given parallelogram is 5.4 units
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