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The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. Find the length of the ladder. - Mathematics

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प्रश्न

The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. Find the length of the ladder.

योग

उत्तर

Let the length of the ladder be x m.


In right angled ΔABC,

AC2 = AB2 + BC2  ......[By Pythagoras theorem]

⇒ (x)2 = (8)2 + (6)2

⇒ `sqrt((8)^2 + (6)^2)` = `sqrt(64 + 36)` = `sqrt(100)`

⇒ x = 10 m

Hence, the length of the ladder is 10 m.

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अध्याय 6: Triangles - Exercise [पृष्ठ १८५]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
अध्याय 6 Triangles
Exercise | Q 157. (a) | पृष्ठ १८५

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