Question : Directions: Manjot cycles X km towards the North and then turns left and cycles Y km to reach her shop. The shortest distance between the starting point and her shop is 5 km. What can be the value of X and Y in km?
Option 1: 3 km and 4 km
Option 2: 8 km and 4 km
Option 3: 3 km and 5 km
Option 4: 4 km and 6 km
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Correct Answer: 3 km and 4 km
Solution : According to the instructions given, the diagram is as follows –
Now, we have to find the values of X and Y.
Here, A is the starting point and C is the finishing point. AB = X km; BC = Y km; AC = 5 km By applying the Pythagorean theorem – (AC) 2 = (AB) 2 + (BC) 2 ⇒ (5) 2 = (X) 2 + (Y) 2 ⇒ 25 = (X) 2 + (Y) 2 ⇒ 25 = (3) 2 + (4) 2 And, 25 = 9 + 16
So, the value of X and Y is 3 km and 4 km. Hence, the first option is correct.
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