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Two poles of 10 m and 15 m stand upright on a plane ground. If the distance between the tops is 13 m, find the distance between their feet. - Mathematics

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प्रश्न

Two poles of 10 m and 15 m stand upright on a plane ground. If the distance between the tops is 13 m, find the distance between their feet.

योग

उत्तर


Let BC = x m

In right-angled ΔACB,

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

⇒ (13)2 = (5)2 + x2

⇒ 169 – 25 = x2

⇒ 144 = x2

⇒ x = `sqrt(144)`

⇒ x = 12 m

Hence, the distance between the feet of two poles is 12 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 156. | पृष्ठ १८५

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