What is the distance between city a and city c

Asked by admin @ in Math viewed by 231 People

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

Answered by admin @


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.


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