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Is It Possible to Draw a Triangle with Sides of Length 2 Cm, 3 Cm and 7 Cm?

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Question

Is it possible to draw a triangle with sides of length 2 cm, 3 cm and 7 cm? 

 

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Solution

Given lengths of sides are 2cm, 3cm and 7cm we have to check whether it is possible to draw a triangle with ten the given lengths of sides 

We know that,
A triangle can be drawn only when the sum of any two sides is greater than the third side. 

So, let’s check the rule 

2+3>7 or 2+3<7 

2+7>3 

and 3+7>2

Here, 2+3>7 So, the triangle does not exit. 

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Chapter 12: Congruent Triangles - Exercise 12.6 [Page 81]

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R.D. Sharma Mathematics [English] Class 9
Chapter 12 Congruent Triangles
Exercise 12.6 | Q 4 | Page 81

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