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Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.

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प्रश्न

Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.

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उत्तर

No. Here, we see that 9 + 7 = 16 < 17

i.e., the sum of two sides of a triangle is less than the third side.

Hence, it contradicts the property that the sum of two sides of a triangle is greater than the third side.

Therefore, it is not possible to construct a triangle with given sides.

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अध्याय 7: Triangles - Exercise 7.2 [पृष्ठ ६६]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 9
अध्याय 7 Triangles
Exercise 7.2 | Q 11. | पृष्ठ ६६

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