A triangle has two sides of length 17 and 2. What is the largest possible whole number length

for the third side?

The largest possible value for the third side is 18.

Step-by-step explanation:

Here, the first side of the triangle = 17

Second side of the triangle = 2

Let us assume the third side of the triangle = m

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 < 17 + 2

or, m < 19

hence, the largest possible value for m = 18