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Is it possible to have a triangle with the following sides? 6 cm, 3 cm, 2 cm - Mathematics

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Question

Is it possible to have a triangle with the following sides?

6 cm, 3 cm, 2 cm

Sum

Solution

In a triangle, the sum of the lengths of either two sides is always greater than the third side.

Given that, the sides of the triangle are 6 cm, 3 cm, 2 cm.

Here, 6 + 3 = 9 cm > 2 cm

However, 3 + 2 = 5 cm < 6 cm

Hence, this triangle is not possible.

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Chapter 6: The Triangle and its Properties - Exercise 6.4 [Page 126]

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NCERT Mathematics [English] Class 7
Chapter 6 The Triangle and its Properties
Exercise 6.4 | Q 1.3 | Page 126

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