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Which of the following can be the length of the third side of a triangle whose two sides measure 18 cm and 14 cm? - Mathematics

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प्रश्न

Which of the following can be the length of the third side of a triangle whose two sides measure 18 cm and 14 cm?

विकल्प

  • 4 cm

  • 3 cm

  • 5 cm

  • 32 cm

MCQ

उत्तर

5 cm

Explanation:

Let the third side of the triangle be x cm.

Since, the sum of any two sides of a triangle is greater than the third side.

∴ 18 + x > 14, 14 + x > 18, 18 + 14 > x

⇒ x > –4, x > 4, 32 > x

Since, length can not be negative.

Thus, 4 < x < 32

Hence, the third side of triangle can be 5 cm.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Triangles - Exercise [पृष्ठ १६३]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
अध्याय 6 Triangles
Exercise | Q 31. | पृष्ठ १६३

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