Question

The direct distance between city A and city B is 200 miles. The direct distance between city B and city C is 300 miles. Which
could be the direct distance between city A and city C?
o
50 miles
0
350 miles
O
550 miles
650 miles

Answer 1

Given:

The direct distance between city A and city B is 200 miles.

The direct distance between city B and city C is 300 miles.

To Find:

What could be the direct distance between city A and city C.

Solution:

A, B and C are three points.

• Lets assume they form a triangle.

Consider the angle ∠ABC. ie ∠B

• It can vary from very small angle around 0° to 180°.

• 0° means A and C coincide.
• 180° means A , B and C are collinear.

• The maximum distance between A and C possible is
• 200 + 300  = 500miles.
• Distance between A and C can be any value between 0 and 500.

The direct distance between A and C can be 50 miles, or 350 miles.

Answer 2

Answer:

between 0 and 500.

Step-by-step explanation: