there are two routes travel from source a to destination be by bus first person reached at via point c and second bus reaches from A to B directly if coordinates of A B and C are(-2,-3),(2,3) and (3,2) respectively then by which bus to you want to travel from A to B assume that both buses have same speed
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Answers
Answer:
by direct route from A to B .reasoning, time saving, economial
Given : coordinates of A, B and C are (-2, -3), (2, 3) and (3, 2) respectively
There are two routes to travel from source A to destination B by bus
First bus reaches at B via point C
second bus reaches from A to B directly.
both buses have same speed.)
To Find : by which bus do you want to travel from A to B
Solution:
Without Doing any calculation Direct route /distance is always shortest so I will travel from A to B by second Bus which go directly
On Calculation Basis
Second Bus : Direct from A to B
(-2, -3), (2, 3)
Distance between A and B = √(2 - (-2))² + (3 - (-3))²
= √4² + 6²
= √16 + 36
= √52
= 2√13
= 7.21
via point C
Distance = AC + CB
A (-2, -3) C (3, 2)
Distance between A and C = √(3 - (-2))² + (2 - (-3))²
= 5√2
= 7.07
C (3, 2) B (2, 3)
Distance between C and B = √(3 -2)² + (2 - 3)²
= √2
= 1.41
Total Distance via point C = 7.07 + 1.41 = 8.48
Direct Distance between A and B =7.21
Hence to travel from A to B , Second Bus ( direct bus is preferred)
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