Suyash starts walking from Point A and goes 130 m towards southeast. Pradeep starts walking from Point B and goes 130 m towards southwest. After walking these distances, they both meet at Point C. Point D is located in such a way that if points A and B are connected with a straight line, then D would be the midpoint of that line. The distance between Point C and Point D is 120 m. What is the distance between Point A and Point B ?
Suyash starts walking from Point A and goes 130 m towards southeast. Pradeep starts walking from Point B and goes 130 m towards southwest. After walking these distances, they both meet at Point C. Point D is located in such a way that if points A and B are connected with a straight line, then D would be the midpoint of that line. The distance between Point C and Point D is 120 m. What is the distance between Point A and Point B ? Correct Answer 100 m
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The information given in the question can be summarized with the help of following diagram :
[ alt="F1 Archana Madhu 06.02.21 D26" src="//storage.googleapis.com/tb-img/production/21/02/F1_Archana_Madhu_06.02.21_D26.png" style="width: 362px; height: 204px;">
Distance between A and D can be calculated using Pythagoras Theorem.
[ src="//storage.googleapis.com/tb-img/production/21/07/Important%20Point_Sunny_28.7.21.png" style="width: 184px; height: 60px;">
(Hypotenuse)2 = (Base)2 + (Height)2
(AC)2 = (AD)2 + (CD)2
1302 = (AD)2 + 1202
16900 = (AD)2 + 14400
(AD)2 = 16900 - 14400
(AD)2 = 2500
AD = 50 m
Similarly, BD = 50 m
Therefore, AB = 100 m
Hence, 100 m is the correct answer.