Point L is 10 km to the south of point R. Point G is 12 km to the west of point L. Point M is 13 km to the south of point G. Point T is 4 km to the east of point M. How far is point T from point G?

Point L is 10 km to the south of point R. Point G is 12 km to the west of point L. Point M is 13 km to the south of point G. Point T is 4 km to the east of point M. How far is point T from point G? Correct Answer √185 km

Drawing the Diagram as per the given information:

[ alt="F1 Rohit Madhuri 21.07.2021 D10" src="//storage.googleapis.com/tb-img/production/21/07/F1_Rohit_Madhuri_21.07.2021_D10.png" style="width: 417px; height: 323px;">

Now, Triangle "MGT" is a right-angled triangle, so using Pythagoras Theorem: 

GT2 = MT2 + MG2 

GT2 = (4)2 + (13)2

GT2 = 16 + 169

GT2 = 185

GT = √185

Hence, the correct answer is "√185".

Related Questions

How far is point 'R' from Point 'T'? Statement (I): Point 'R' is 5 metres to the north of point 'M'. Point 'U' is 4 metres to the east of point 'R'. Point 'T' is to the west of point 'R' such that points 'U' 'R' and 'T' form a straight line of  metres. Statement (II): Point 'Z' is metres to the south of point 'T'. Point 'U' is  metres to the east of point 'T'. Point 'M' is  metres to the east of point 'Z'. Point 'R' is  metres to the north of point 'M'. Point 'R' lies on the line formed by joining points 'T' and 'U'.