1. **Problem Statement:** We have a paper rectangle with sides 11.69 in. and 8.27 in., cut diagonally to form a triangle with the diagonal measuring 14.32 in. We need to classify this triangle by its sides. 2. **Formula and Rules:** To classify a triangle by its sides, compare the lengths of all three sides: - Equilateral: all sides equal - Isosceles: two sides equal - Scalene: all sides different 3. **Given sides:** - Side 1 = 11.69 in. - Side 2 = 8.27 in. - Side 3 (diagonal) = 14.32 in. 4. **Check side equality:** - 11.69 \neq 8.27 - 11.69 \neq 14.32 - 8.27 \neq 14.32 5. Since all three sides are different, the triangle is **scalene**. **Final answer:** The triangle formed by cutting the paper diagonally is a **scalene** triangle.