Question

the distance between lincoln, ne, and boulder, co, is about 500 miles. the distance between boulder, co, and a third city is 200 miles. assuming the three cities make a triangle on the map, which values represent the possible distance, d, in miles, between lincoln, ne, and the third city? dropdown < d < dropdown

Explanation:

Step1: Recall triangle inequality theorem

The sum of any two sides > third side; difference < third side.

Step2: Calculate bounds for d

Let sides be 500, 200, d.
Lower bound: 500 - 200 = 300
Upper bound: 500 + 200 = 700

Answer:

300 < d < 700