Question 233608
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...
{{{(x-2)+(x+3)+x >= 46}}} Combine like-terms on the left side.
{{{3x+1 >= 46}}} Subtract 1 from both sides.
{{{3x >= 45}}} Divide both sides by 3.
{{{highlight(x >= 15)}}}
The base should be at least 15cm. long.