A triangle has sides of following dimensions $7cm$, $17cm$ and third side is an integer. Find the number of triangles possible.
What I did:- Maximum possible value of third side
As we know, third side will be surely less than the sum of the other two sides. $23<17+7$ Minimum possible value of third side Difference of any two sides is less than the third side $11>17-7=10$
Number of possible values between $11$ and $23$ are= $13$. But the total number of triangles possible is 33. How?