Question

8 cm
10 cm
(a)
7 cm
12 cm
6 cm
11 cm solution ​

Answer 1

If 4 cm and 7 cm are the lengths of two sides of a triangle, then the length of the third side may be ............

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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