Two sides of a triangle are 4 cm and 7 cm. What can be the length of its
third side to make the triangle possible?
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⇒ 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.
∴ The length of the third side of triangle is 6cm
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