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Question
Two poles are 4 m and 9 m high. They are on the same ground and the distance between them is 12 m. Find the distance between their tops.
Sum
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Solution
Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Given,
Two poles are 4 m and 9 m high. They are on the same ground and the distance between them is 12 m. Find the distance between their tops.
(Hypotenuse)2 = (base)2 + (height)2
⇒ (Hypotenuse)2 = (12)2 + (5)2
⇒ (Hypotenuse)2 = 144 + 25 = 169
⇒ Hypotenuse = `sqrt(169)` = 13 m
Hence, this is required.
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