Question 195

If a person travels from a point L towards east for 12 km and then travels 5 km towards north and reaches a point M, then shortest distance from L to M is :

Solution

After travelling 12 km towards east, the person reaches N and then 5 km towards north, he reaches M

Clearly $$\triangle$$LMN is right angled triangle.

=> LM = $$\sqrt{(LN)^2 + (MN)^2}$$

=> LM = $$\sqrt{12^2 + 5^2}$$

=> LM = $$\sqrt{169}$$ = 13 km

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