You want to build a support for a shelf that is 12 inches wide. if the support is 15 inches long, how far down will the support attached to the wall below the shelf. sketch a diagram to support.

9 inches

Step-by-step explanation:

The support forms a right triangle with the shelf.  So we can use Pythagorean theorem to find the height of the triangle.

c² = a² + b²

(15 in)² = (12 in)² + b²

225 in² = 144 in² + b²

81 in² = b²

9 in = b

The support attaches to the wall 9 inches below the shelf.

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