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.

Number of problems found: 24


We apologize, but in this category are not a lot of examples.
Do you have homework that you can't solve? Ask a question, and we try to solve it.



We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active math competitions such as Mathematical Olympiad, correspondence seminars etc...
See also more information on Wikipedia.