Question

Preethi and Nisha started from the same point. Preethi moves towards north and Nisha moves towards east. After Nisha has covered 8 km the shortest distance between them is 10 km. How much distance had Preethi covered ?

Answer 1

Answer:

6 km

Step-by-step explanation:

let the starting point be A

Nisha covered a distance of 8km

let the point Nisha reach be B

Preeti covered a distance of x km

let the point Preeti reach be C

distance between them is BC = 10 km

we get a right angle triangle ABC

BC becomes the hypotenuse

apply Pythagoras theorem

${bc}^{2} = {ab}^{2} + {ac}^{2} \\ {10}^{2} = {8}^{2} + {x}^{2} \\ 100 = 64 + {x}^{2} \\ {x}^{2} = 100 - 64 \\ {x}^{2} = 36 \\ x = \sqrt{36} \\ x = 6$

distance covered by Preeti is 6km

hope you get your answer