SOLUTION: One side of a triangle is 2 cm shorter than the base, x. The other side is 3 cm longer that the base. What lengths of the base will allow the perimeter of the triangle to be at le

Question 233608: One side of a triangle is 2 cm shorter than the base, x. The other side is 3 cm longer that the base. What lengths of the base will allow the perimeter of the triangle to be at least 46 cm?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the length of the base = x.
The shorter side is then x-2 while the longer side is x+3.
The sum of these three sides is to be at least 46 cm., so...
Combine like-terms on the left side.
Subtract 1 from both sides.
Divide both sides by 3.

The base should be at least 15cm. long.
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