which of the following could be the perimeter of the triangle?If two sides of a triangle have lengths 6 and 12.
I. 30
II. 25
III. 18 Answers
A) I only
B) II only
C) II and III only
D) none
E) I, II, and III
The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.   Therefore:   (12-6) &lt; {third side} &lt; (12+6).   6&lt; {third side} &lt; 18.   Perimeter = {third side} + 6 + 18= {third side} + 24.   30&lt; {perimeter} &lt; 42   Answer: none.
<result>D</result>
which of the following could be the perimeter of the triangle?If two sides of a triangle have lengths 6 and 12.
I. 30
II. 25
III. 18