\( \triangle C R V \) has side lengths that measure 10 centimeters, 12 centimeters, and 15 centimeters. Which of the following best describes this type of triangle? A. Equilateral triangle B. Isosceles triangle C. Obtuse triangle D. Scalene triangle

This triangle is scalene because all three sides have different lengths: 10 cm, 12 cm, and 15 cm. In scalene triangles, no sides are equal and consequently, no angles are equal either, making them unique in shape and size compared to other triangle types. Additionally, to check for the type of angles within the triangle, you can apply the Pythagorean theorem. Since \(10^2 + 12^2\) does not equal \(15^2\) (100 + 144 ≠ 225), this triangle isn't right-angled. In fact, calculating the squares shows that the sum of the squares of the two shorter sides is less than that of the longest side, suggesting that it is actually an obtuse triangle. But the scalene classification still stands!