SOLUTION: If the longer side of a rectangle is 8 cm, and the diagonal is 12 cm, find the length of the shorter side of the rectangle.

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Question 830148: If the longer side of a rectangle is 8 cm, and the diagonal is 12 cm, find the length of the shorter side of the rectangle.
Answer by reviewermath(1029) About Me  (Show Source):
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Q:
If the longer side of a rectangle is 8 cm, and the diagonal is 12 cm, find the length of the shorter side of the rectangle.
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A:
Let x = shorter side
Using Pythagorean Theorem:
x%5E2+%2B+8%5E2+=+12%5E2
x+=+sqrt%2812%5E2+-+8%5E2%29+=+highlight%284sqrt%285%29+cm%29