Mayank started driving from his office to the hotel. He drove 10 km towards north. From there, he turned right and drove 8 km. Then, he turned right and drove 6 km. Again, he turned right and drove 5 km and reached his hotel. What is the shortest distance from the office to his hotel?
Mayank driving distance draw the diagram is given belowÂ
Let office to hotel = x kmÂ
Using Pythagorean theorem,
then $$ x^2 = (4)^2 + (3) ^2 $$
  $$\Rigtharrow x^2 = 16+9 $$
   $$ \Rightarrow x = \sqrt {25}$$
   $$ \Rightarrow x = 5 km AnsÂ
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