The possible value of the third side of the triangle is 23.
The range of third side c when two sides a and b of a triangle are known is given by the inequality:
[tex]a-b < c < a+b[/tex]
It is given that:
a =15
b = 9
So, by the triangle inequality
[tex]15-9 < c < 15+9[/tex]
6 <c <24
The third side will take the value between 6 and 24.
so, the possible value of the third side of the triangle i.e. c is 23.
Therefore, the possible value of the third side of the triangle is 23.
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