+1044 The perimeter of the triangle below is an integer. What is the smallest possible value of the perimeter? (Assume that the triangle is non-degenerate.)
+38 Let's let the final length of the triangle be equal to x. By the Triangle inequality,
24+49>x
24+x>49
49+x>24.
The first inequality gives us the equation x<73. The second equation gives up x>25. The final equation gives up x>-25. From these equations, we know that 25 <73. So the smallest possible length of x is 26. So the perimeter of the triangle is 26+24+49=99.
And now we're done! 
Hope this helped!
