If two sides of a triangle have lengths 10 and 8, which of the following could be the perimeter of the triangle? I. 29 II. 26 III. 30	Choose the most appropriate option:  A) None  B) I only  C) II only  D) III only  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:   (10-8) &lt; {third side} &lt; (8+10).   2 &lt; {third side} &lt; 18.   Perimeter = {third side} + 8 + 10 = {third side} + 18.   20 &lt; {perimeter} &lt; 36.   answer I, II, and III
<result>E</result>
If two sides of a triangle have lengths 10 and 8, which of the following could be the perimeter of the triangle? I. 29 II. 26 III. 30