Question

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

Answer 1

Answer:

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