Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches. What is the greatest possible whole-number length of the unknown side? Inches

7 inches

Step-by-step explanation:

The side length (s) that would make the largest angle be exactly 90° is found from the Pythagorean theorem:

12² + s² = 14²

s² = 196 - 144 = 52

s = 2√13 ≈ 7.2

The length for an obtuse triangle will be less than this (and greater than 14-12=2 inches).

The greatest possible whole-number length is 7 inches.

The Answer is 7 for Edge