SOLUTION: A triangle has sides with lengths of 3 and 5 inches. Which of the following could be the perimeter of the triangle? A) 9 inches B) 10 inches C) 12 inches D) 16 inches

Algebra ->  Triangles -> SOLUTION: A triangle has sides with lengths of 3 and 5 inches. Which of the following could be the perimeter of the triangle? A) 9 inches B) 10 inches C) 12 inches D) 16 inches       Log On


   

Question 260941: A triangle has sides with lengths of 3 and 5 inches. Which of the following could be the perimeter of the triangle?
A) 9 inches
B) 10 inches
C) 12 inches
D) 16 inches
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
WIth 2 sides known, we can use the following to estimate the third side:
5-3 < x < 5+3
2 < x < 8
using 3 as the third side, perimeter = 11
using 7 as the third side, perimeter = 15.
so our only answer is 12, [C]