CSATGeometry & MensurationPythagorean Triplets2016

AB is a vertical trunk of a huge tree with A being the point where the base of the trunk touches the ground. Due to a cyclone, the trunk has been broken at C which is at a height of 12 meters, broken part is partially attached to the vertical portion of the trunk at C. If the end of the broken part B touches the ground at D which is at a distance of 5 meters from A, then the original height of the trunk is:

A

20 m

B

25 m

C

30 m

D

35 m

Correct Answer: Option B

Explanation

First, I'll visualize the situation. There's a vertical tree trunk and the flat ground, which meet at a 90-degree angle. The tree breaks 12 meters up. So, the part sti

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