Question

A triangle has two sides of length 11 and 12. What is the smallest possible whole-number length for the third side? NO LINKS

Answer 1

Answer: The answer would be 16.

Explanation:

`a^(2) +b^(2) =c^(2) \\11^2+12^2=c^2\\121+144=c^(2) \\√(265) =√(c^2) \\c=16.27\\c=16`

16 is the smallest possible whole number for the length of the third side. By using the Pythagorean Theorem, we are able to find the third side.