Sum of any two sides of a triangle is not less than the third side. State whether the statement is true or false.

Solution:

Given, the sum of any two sides of a triangle is not less than the third side.

We have to determine if the given statement is true or false.

We know that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

Example : considering 3 cm, 4 cm, 5 cm

Let the two sides be 3cm and 4cm

Let the third side be 5 cm

Now, sum of two sides = 3 + 4 = 7 cm

So, 7 > 5

Therefore, 3 cm, 4 cm and 5 cm can be the sides of a triangle.

Example : considering 2 cm, 4 cm, 6 cm

Let the two sides be 2 cm and 4 cm

Let the third side be 6 cm

Now, sum of two sides = 2 + 4 = 6 cm

So, 6 = 6

Therefore, 2 cm, 4 cm and 6 cm cannot be the sides of a triangle

✦ Try This: The sum of all three interior angles of a triangle is always equal to 180 degrees. State whether the statement is true or false

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Sample Problem 10

Sum of any two sides of a triangle is not less than the third side. State whether the statement is true or false.

Summary:

The given statement,”Sum of any two sides of a triangle is not less than the third side” is false

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