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Example: A tree is broken at a height of 5 m from the ground and its top touches the ground at

12 m from the base of the tree. Find the original height of the tree.

Solution

Let the tree be broken at point A
Then tree length = AB + AC

In triangle ABC, right angle at B
2
2
2
AB + BC = AC
2
AC = 25 +144 =169
AC=13 m
So original length of tree= 5+13 =18 m.