The length of longer pole that can be placed on the floor of a room is 10 m and the length of the longest pole that can be placed in the room is 10√ 2m. The height of the room is?

Q: The length of longer pole that can be placed on the floor of a room is 10 m and the length of the longest pole that can be placed in the room is 10√ 2m. The height of the room is?

∵ l 2 + b 2 = (10) 2 = 100 And l 2 + b 2 + h 2 = (10√ 300 ) 2 = 200 ⇒ h 2 = (200 - 100) = 100 ∴ h = 10 m

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Accepted Answer

∵ l² + b² = (10)² = 100
And l² + b² + h² = (10√300)² = 200
⇒ h² = (200 - 100) = 100
∴ h = 10 m

The length of longer pole that can be placed on the floor of a room is 10 m and the length of the longest pole that can be placed in the room is 10√ 2m. The height of the room is?

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