Mathematics
Two sides of a triangle are 8 cm and 11 cm, The length of its third side lies between a cm b cm, find the values of a and b if a < b.
Answer
Using the Triangle Inequality Theorem, which states:
The sum of any two sides of a triangle is greater than the third side:
Third side < 11 + 8 = 19 cm
The difference between any two sides of a triangle is less than the third side:
Third side > 11 - 8 = 3 cm
Thus, the length of the third side must lie between 3 cm and 19 cm.
Given that a < b, we have: a = 3 cm and b = 19 cm
Hence, a = 3 cm and b = 19 cm.
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