SOLUTION: one side of the triangle is 4cm and the sum of the other two sides is equal to a whole number of cm. what is the smallest possible perimeter of the triangle?
a. 9cm
b. 10cm
d. 1
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a. 9cm
b. 10cm
d. 1
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Question 1032082: one side of the triangle is 4cm and the sum of the other two sides is equal to a whole number of cm. what is the smallest possible perimeter of the triangle?
a. 9cm
b. 10cm
d. 11cm
d. 15cm
e. 17cm Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! By the triangle inequality, we know that x + y > 4.
==> Perimeter P = x + y + 4 > 8.
Since x + y + 4 must be a whole number (because x + y is a whole number), it follows that
,
hence the smallest possible perimeter of the triangle is 9 cm.
