Question

CITIES: The distance between New York City, New York, and Boston, Massachusetts, is 187 miles, and the distance between New York City and

Hartford, Connecticut, is 97 miles. Hartford, Boston, and New York City form a triangle on a map. What must the distance between Boston and
Hartford be greater than?

Answer 1

Greater than 90 miles

Explanation:

Use the triangle inequality theorem, since the cities form a triangle.

This theorem states that the sum of any 2 sides of a triangle has to be greater than the length of the third side.

We can find what the length of the third side has to be greater than by subtracting 97 from 187:

187 - 97

= 90

So, the distance has to be greater than 90 miles.