Given :
The perimeter of a triangle is between 10 inch and 15 inch inclusively.
To Find :
If two of the sides of the triangle are 3.7 in and 5.2 in, find the range of possible measurements of the third side.
Solution :
Let, third side is x.
So, by given constraint of perimeter :
10 ≤ ( x + 3.7 + 5.2 ) ≤ 15
10 ≤ x + 8.9 ≤ 15
1.1 ≤ x ≤ 6.1
Therefore, the range of possible measurements of the third side is in between 1.1 and 6.1 inclusively.
Hence, this is the required solution.