Question

Sita started to walk from her office to home. She first walked a distance of 1 km towards North and after finishing her shopping she walked for another 4 km towards West to meet her friend. From there she took a left turn and walked for another 4 km to reach her home. What is the shortest distance between her office and home?

Answer 1

5km

Explanation:

A - her office

E - her home

AB = 1km; BC = CE = 4km

AE - the shortest disctance between her office and home.

ADE - right triangle, where AD = 4km, ED = 3 (EC - CD) =>

According to the Pythagorean theorem , we make up the equation:

AE = √ED^2 + AD^2 = √25 = 5km