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Question
The lengths of two sides of a triangle are 13cm and 16cm. The third side should lie between 'a' cm and 'b' cm for the triangle to be formed. Find the value of a + b?
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Answer:
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The third side of a triangle must be greater than the difference between the other two sides.
That is, third side > (16 - 13) which is 3.
Also, Sum of lengths of any two sides of a triangle is always greater than the third side.
That is, third side < (16+13) which is 29.
Hence, a + b = 3 + 29 = 32.

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