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Question:
find the length if the largest pole that can be placed in a hall 10 m long 10 m wide and 5 m high
Answer:

Given length of the hall = 10 m

Breadth of the hall = 10 m

and Height of the hall = 5 m

Now, length of the longest pole = length of the diagonal of the hall 

=> length of the longest pole =√{(10)2 + (10)2 + 52 }

=> length of the longest pole =√(100 + 100 + 25)

=> length of the longest pole =√225

=> length of the longest pole = √(15*15)

=> length of the longest pole = 15 m

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