Point A is 5m in the north of point B. Point D is 5m in the south of point C. Point E is 16m in the north of point F. Point D is 6m in the west of point G, which is the midpoint of line formed by E and F. Point D is 3m in the east of point B. What is the shortest distance between point D and point F?

Point A is 5m in the north of point B. Point D is 5m in the south of point C. Point E is 16m in the north of point F. Point D is 6m in the west of point G, which is the midpoint of line formed by E and F. Point D is 3m in the east of point B. What is the shortest distance between point D and point F? Correct Answer 10m

According to the given information, we get the following figure, 

[ alt="Direction Distance Pratik M 25 May 10QsHinRev Manoj d7" src="//storage.googleapis.com/tb-img/production/20/06/Direction_Distance_Pratik_M_25_May_10QsHinRev_Manoj%20d7.PNG" style="width: 480px; height: 446px;">

By using Pythagoras theorem,

Shortest distance between D and F = √ (6² + 8²) = √ (36+64) = √100 = 10

Hence, ‘10m’ is the correct answer.