The lengths of two sides of a triangle are 6 and 13. Which can be the length of the third side?

1 Answer
CW
Feb 12, 2017

Length of the third side will have a value between #7 and 19#.

Explanation:

The sum of the lengths of any two sides of a triangle must be greater than the third side.

#=># the third side must be greater than #13-6=7#, and
the third side must be less than #6+13=19#

Denoting the third side as #x#,
#=> 7 < x< 19#

Hence, #x# will have a value between #7 and 19#

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