Question 1144825: One side of a triangle is 8 inches and the other two sides are each equal to a positive whole number of inches. What is the smallest possible perimeter of the triangle?
A)9
B)10
C)11
D)17
Found 2 solutions by Edwin McCravy, josmiceli:
Answer by Edwin McCravy(20056)   (Show Source):
You can put this solution on YOUR website!
We have one side as 8. By the triangular inequality, the other two sides must
have a larger sum than 8. So the smallest their sum can be is 9. So the smallest
possible perimeter is 8+9=17.
There are four possible triangles with that perimeter and positive whole numbers
for sides. They are:
1,8,8 (an isosceles triangle)
2,7,8
3,6,8
4,5,8
In each case the perimeter is 17.
Edwin
Answer by josmiceli(19441)  (Show Source):
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