Question

If the length of two sides of a triangle are 4 cm and 6 cm. Then third side may be 

5 cm

3 cm

4 cm

All of the above

​

Answer 1

Answer:

The sum of the lengths of any two sides in a triangle is always greater than the length of the third side in the triangle.

⇒ The differnce of the lengths of any two sides in a triangle is always lesser than the length of the third side in the triangle.

⇒ The difference between 4cm and 7cm is

3cm and their sum is 11cm.

⇒ To ensure that the above mentioned rule is not violated, the possible length of the third side has got to be greater than 3cm and lesser than 11cm.

⇒ So from the given options 6cm is less than

11cm and greater than 3cm

∴ The length of the third side of triangle is 6cm