Math CentralQuandaries & Queries


Question from divakar, a parent:

The sides of the triangle are integers. The perimeter is 8. What is the area?


The important rule to remember is this:

The sum of any two side lengths of a triangle must exceed the length of the third side.

Otherwise, you do not have a triangle at all.

Write out all the different combinations of side lengths that are integers (1 or higher of course) and decide which combination meets the rule above.

Then you can either use Pythagoras' Theorem to help you find the area, or you can directly calculate the area using the side lengths by using Heron's Formula.

Stephen La Rocque.

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