Question

Which of the following set of sides are possible for a triangle?

• A. 3 cm, 4 cm, 7 cm
  
• B. 2 cm, 3 cm, 7 cm
  
• C. 3 cm, 4 cm, 5 cm
• D. 3 cm, 3 cm, 7 cm

Answer 1

The correct option is C 3 cm, 4 cm, 5 cm

Let's check each option one by one.
A. 3 cm, 4 cm, 7 cm
3 cm + 4 cm = 7 cm
Here, the sum of two sides is equal to the third side. So, triangle is not possible.

B. 2 cm, 3 cm, 7 cm
2 cm + 3 cm = 5 cm < 7 cm
Here, the sum of two sides is less than the third side. So, triangle is not possible.

C. 3 cm, 4 cm, 5 cm
3 cm + 4 cm = 7 cm > 5 cm
4 cm + 5 cm = 9 cm > 3 cm
3 cm + 5 cm = 8 cm > 4 cm
In all three combination the third side is greater than the side. So, a triangle is possible.

D. 3 cm, 3 cm, 7 cm
3 cm + 3 cm = 6 cm < 7 cm
Here, the sum of two sides is less than the third side. So, triangle is not possible.