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Question
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.
Solution
The sum of any two sides of the triangle is always greater than third side of the triangle.
Third side < 13 + 8 = 21 cm.
The difference between any two sides of the triangle is always less than the third side of the triangle.
Third side > 13 - 8 = 5 cm.
Therefore, the length of the third side is between 5 cm and 21 cm, respectively.
The value of a = 5 cm and b = 21cm.
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