Yes, a scalene triangle can be an acute triangle. To understand this, let’s break down the definitions of the terms involved.
A scalene triangle is defined as a triangle in which all three sides have different lengths. Because of this, all three angles in a scalene triangle are also different. An acute triangle, on the other hand, is defined as a triangle in which all three angles are less than 90 degrees.
Since a scalene triangle does not have any restrictions on the measurements of its angles beyond them being less than 180 degrees when summed up, it’s entirely possible for all three angles to be less than 90 degrees. Hence, it can indeed be formed as an acute triangle.
In conclusion, not only can a scalene triangle be acute, but there are many examples of scalene acute triangles in geometry. Understanding these properties can help in better identifying and categorizing triangles based on their side lengths and angle measures.