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. Then the value of a + b = ___ cms.

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Solution

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 cms.

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