# What is the area of a triangle with sides of length 4, 2, and 9?

Jan 27, 2016

First check to see if this is a valid triangle ...

#### Explanation:

Using the Triangle Inequality Theorem ...

The sum of two sides must always be greater than the 3rd side .

Unfortunately, this problem does not meet the criteria:

$4 + 2 < 9$

This is not a triangle , so the area can not be calculated.

Hope that helps