Use inequality to solve the problem and show the inequality and all work

One side of a triangle is 2 cm shorter than the base, x  The side is 8 cm longer than the base.  What length of the base will allow the perimeter of the triangle to be at least 30 cm.
in Algebra 1 Answers by Level 1 User (320 points)

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1 Answer

The three side lengths are x, x-2, x+8. The perimeter is these added together: 3x+6.

If the perimeter is ≥30cm then 3x+6≥30. Divide through by 3: x+2≥10, subtract 2 from each side: x≥8cm. So the base must be at least 8cm long. Minimum side lengths: 8cm, 6cm, 16cm.

by Top Rated User (1.2m points)

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