Question
Given a triangle with two sides measuring 12 cm and 16
cm, which of the following cannot be a possible length for the third side?Solution
If 'a' and 'b' are the two sides of a triangle then third side must satisfy the following condition:
(a - b) < third side < (a + b)
So, (16 - 12) < third side < (16 + 12)
Or, 4 < third side < 28
3 cm does not follow the above condition. So, length of third side of the given triangle cannot be 3 cm.
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