Answer:
11
Step-by-step explanation:
Interesting question. Thanks for posting.
The key to the answer is in 2x - 15
If x = anything less than 7.5 (which is not an integer) then 2x - 15 will be minus and minus lengths in geometry cannot be. Not at this level anyway.
So, the smallest integer that x could be would be 8.
That would make 2x - 15 = 1
We're not quite finished. We have to check that out.
x = 8
x + 5 = 13
2x - 15 = 1
It doesn't work. 1 and 8 don't make more than 13.
=================
Try again.
Let's see. Let's try 10
2*10 - 15 = 5.
x + 5 = 15
x = 10
This doesn't work either, because 10 and 5 = 15 which won't make a triangle. The two smallest sides of a triangle have to be more than the largest side. But notice how close we are. Let's try 11.
====================
2*11 - 15 = 7
x + 5 = 16
x = 11
and this works. 11 + 7 = 18 which is more than 16.
