In between the hospital and the supermarket, there is a bus stop plotted as D, which is their mid-point. If Partha wants to reach the bus stand from the bank, then how much distance does he need to cover ?

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Solution

Q.
Partha, a software engineer, lives in Jerusalem for his work. He lives in the most convenient area of the city from where bank, hospital, post office and supermarket can be easily accessed. In the graph, the bank is plotted as A(9, 5), hospital as B(– 3, – 1) and supermarket as C(5, – 5) such that A, B, C form a triangle.

Based on the above given information, answer the question :

Q. In between the hospital and the supermarket, there is a bus stop plotted as D, which is their mid-point. If Partha wants to reach the bus stand from the bank, then how much distance does he need to cover

Ans.
( $8 \sqrt{2}$ )

Coordinates of D are $(\frac{- 3 + 5}{2}, \frac{- 1 + (- 5)}{2}) = (1, - 3)$

Distance Partha need to cover $= \sqrt{{(9 - 1)}^{2} + (5 - {(- 3))}^{2}} = \sqrt{64 + 64} = \sqrt{128}$ units or $8 \sqrt{2}$ units

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