Question

The measures of two sides of a triangle are 5.2 and 8.1 determine the range of values for the third side of the triangle

Answer 1

In order for the triangle to be valid, the length of the third side must be greater than the difference between the lengths of the other two sides, and less than the sum of the lengths of the other two sides.

So, the range of values for the third side is 8.1 - 5.2 < x < 8.1 + 5.2

That simplifies to 2.9 < x < 13.3

Therefore, the range of values for the third side is 2.9 to 13.3.