# Triangle inequality - practice problems - last page

In any triangle, the sum of the lengths of any two sides is greater than the length of the remaining third one. The triangle inequality is three inequalities that are true simultaneously. The inequalities result directly from the triangle's construction. If one side were longer than two in total, the vertex against the longest side could not be constructed (or drawn), and the triangle as a shape in the plane would not exist.

Direction: Solve each problem carefully and show your solution in each item.

#### Number of problems found: 30

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