Question

sara is building a triangular pen for her pet rabbit. if two of the sides measure 8 and 15 what is the third side?

Answer 1

The sum of any two sides of a triangle must have a sum greater than the third side. (The shortest leg of a triangle can be no shorter than the difference of the other two sides and the longest leg of a triangle can be no longer than the sum of the other two sides.)

15 - 8 < missing side < 15 + 8 → 7 < missing side < 23.

So, the third side must be between 7 feet and 23 feet.