Sum of two sides of a triangle is greater than or equal to the third side. State whether the statement is true or false.

Solution:

Given, the sum of two sides of a triangle is greater than or equal to 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.

(i) considering 2 cm, 3 cm, 4 cm

Let the two sides be 2 cm and 3 cm

Let the third side be 4 cm

Now, sum of two sides = 2 + 3 = 5 cm

So, 5 > 4

Therefore, the given statement is false.

✦ Try This: The difference between the lengths of any two sides of a triangle is greater than the length of third side. 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 Problem 71

Sum of two sides of a triangle is greater than or equal to the third side. State whether the statement is true or false.

Summary:

The given statement,”Sum of two sides of a triangle is greater than or equal to the third side” is false.

☛ Related Questions:

• The difference between the lengths of any two sides of a triangle is smaller than the length of thir . . . .
• In ∆ABC, AB = 3.5 cm, AC = 5 cm, BC = 6 cm and in ∆PQR, PR= 3.5 cm, PQ = 5 cm, RQ = 6 cm. Then ∆ABC . . . .
• Sum of any two angles of a triangle is always greater than the third angle. State whether the statem . . . .