Immeasure of two sides of a triangle or five point two in eight point one determine the range of the values for the third side of the triangl

Answer 1

To determine the range of values for the third side of the triangle, we need to apply the triangle inequality theorem. According to this theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Let's consider two cases:

1) Triangle with sides measuring 5.2 inches and 8.1 inches:
In this case, the third side must satisfy the following inequality:
5.2 + 8.1 > third side
13.3 > third side

So, the third side must be greater than 13.3 inches.

2) Triangle with sides measuring 8.1 inches and 5.2 inches:
In this case, the third side must satisfy the following inequality:
8.1 + 5.2 > third side
13.3 > third side

Similarly, the third side must be greater than 13.3 inches.

Therefore, the range of values for the third side of the triangle is any value greater than 13.3 inches.