SOLUTION: Two sides of a triangle measure 8cm and 11cm. Which one of these statements about the length of the third side is true? a) Its length is 3cm. b) Its length is less than 3cm. c)

Question 965165: Two sides of a triangle measure 8cm and 11cm. Which one of these statements about the length of the third side is true?
a) Its length is 3cm.
b) Its length is less than 3cm.
c) Its length is greater than 19cm.
d) Its length is greater than 3 cm but less than 19cm.
Please include explanation!
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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ANSWER: d) is correct. The sum of any two sides of a triangle must be greater than the third side (Triangle Inequality Theory).
Let x=third side
x+8cm must be greater than 11cm, so x>3cm
8cm+11cm must be greater than x, so x<19cm
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