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Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer. - Mathematics

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Question

Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer.

Give Reasons
Sum

Solution

Yes, because in each case the sum of two sides is greater than the third side.

i.e., 7 + 4 > 8, 8 + 4 > 7, 7 + 8 > 4

Hence, it is possible to construct a triangle with given sides.

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Chapter 7: Triangles - Exercise 7.2 [Page 66]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 7 Triangles
Exercise 7.2 | Q 12. | Page 66

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