The lengths of two sides of a triangle are 12 ft and 13 ft. What is the range of possible lengths for the third side?

1 Answer
Alan P.
Feb 23, 2016

(1" ft", 25" ft")

Explanation:

Since the sum of two sides of a triangle must be greater than the remaining side:

The third side must be greater than 13-12=1 foot, and
the third side must be less than 12+13=25

Denoting the third side as s
1 < s < 25color(white)("XXX")orcolor(white)("XXX")s in(1,25)

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