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Is it possible to have a triangle with the following sides? 2 cm, 3 cm, 5 cm - Mathematics

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Question

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

2 cm, 3 cm, 5 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 2 cm, 3 cm, 5 cm.

It can be observed that,

2 + 3 = 5 cm

However, 5 cm = 5 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 1.1 | Page 126

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