Mathematics
If two sides of a triangle are 8 cm and 13 cm, then the length of the third side is between a cm and b cm. Find the values of a and b such that a is less than b.
Answer
We know that,
The sum of any two sides of a triangle is always greater than the third side.
⇒ Third side < 13 + 8
⇒ Third side < 21 cm.
The difference of any two sides of a triangle is always less than the third side.
⇒ Third side > 13 - 8
⇒ Third side > 5 cm.
Thus, length of third side is between 5 cm and 21 cm.
Given, a is less than b.
Hence, a = 5 cm and b = 21 cm.
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