SOLUTION: One side of a triangle is 4cm and the sum of the other two is equal to a whole number of cm. What is the smallest possible perimeter of the triangle ? A) 9 B)10 C)11 D)15

Question 1143898: One side of a triangle is 4cm and the sum of the other two is equal to a whole number of cm. What is the smallest possible perimeter of the triangle ?
A) 9
B)10
C)11
D)15
Found 3 solutions by Boreal, ikleyn, Alan3354:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
if one side is 4
the sum of the lengths of the other two sides have to be greater than 4, or 5, given the definition.
9 cm is smallest possible perimeter.
A

Answer by ikleyn(52784)   (Show Source): You can put this solution on YOUR website!
.

ANSWER. The smallest possible perimeter is 4 + 5 = 9 cm.

HINT. The sum of the lengths of the two other sides must be greater than 4 cm.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
One side of a triangle is 4cm and the sum of the other two is equal to a whole number of cm. What is the smallest possible perimeter of the triangle ?
==============
The sum of the other 2 sides must be more than 4 cm.
The smallest integer > 4 is 5.
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