Answer:
15
Explanation:
Note that;
The sum of the lengths of 2 sides of a triangle must be greater than but not equal to the length of the third side.
As well as, the third side must be longer than the difference between the greater and the lesser of the other two sides
Given;
First side of the triangle = 17
Second side of the triangle = 2
Let us assume the third side of the triangle = T
Now, In any given triangle:
"Sum of any two sides of a triangle is strictly greater than the third side."
⇒ Sum of first side + Sum of second side > Third Side
or, m < 2 + 14
or, m < 16
Hence, the largest possible value for m = 15
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