Find the missing height of the solid figure

9514 1404 393

  5 in

Step-by-step explanation:

The figure's angles are presumed to be right angles everywhere, so the left-side vertical dimension is equal to the right-side vertical dimension.

The right side is marked as 15 inches.

The left side has two vertical segments, one of which is 10 inches. Since the total left-side height must be the same as the right-side height, we have ...

  10 in + ? = 15 in

  ? = 5 in . . . . . . subtract 10 in

The missing height is 5 inches.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

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