The distance from Enterprise to Springfield cannot be 16 miles because it doesn't satisfy the triangle inequality theorem.
To determine if the distance from Enterprise to Springfield can be 16 miles, we can use the triangle inequality theorem.
According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, let's assume the distance from Enterprise to Richmond is side a (5 miles), the distance from Springfield to Richmond is side b (10 miles), and the distance from Enterprise to Springfield is side c (16 miles).
To satisfy the triangle inequality theorem, we need to have a + b > c, b + c > a, and c + a > b.
Checking these conditions, we find that 5 + 10 = 15 < 16, which means the condition is not met.
Therefore, the distance from Enterprise to Springfield cannot be 16 miles.
The probable uestion may be:
Three towns form a triangle on the map below. Could the distance from Enterprise to Springfield be 16 miles? Justify your answer
the distance from enterprise to Richmond is 5 miles and from springfield to richmond is 10 miles.