Now we will discuss can a triangle be acute and scalene?

No, it is not possible for all Triangles because a Scalene Triangle has all its angles of different degrees. When we assume a triangle which has all the angles of 60 degrees then this triangle is not scalene triangle. So we cannot say that all the triangles are acute and scalene. Those triangles which have different angles are acute as well as scalene triangle.

A scalene triangle is a type of an acute triangle because an Acute Angle has all angles less than 90 degrees. It satisfies all properties of a scalene triangle.

If all sides and angles of a triangle are different then the triangle is known as a scalene triangle. A scalene triangle can also have one Right Angle.

In this given diagram all the angles are different. So this is a scalene triangle.

Now we have another triangle which is not a scalene triangle.

In this triangle all the angles are equal so it is not a scalene triangle.

Some Properties of scalene triangle are:

A scalene triangle has interior angles, area, and perimeter. In a scalene triangle all the interior angles are different; it means all the angles are of different degrees. If the triangle has two of its angles of same degree then the triangle is said to be an Isosceles Triangle. If the triangle has all its angles of same degrees then the triangle is known as an Equilateral Triangle. Then the area of scalene triangle is given by-

Area = √s(s – u) (s – v) (s – w),

Where, the value of‘s’ is the half of the perimeter, and the 's' of a scalene triangle is: s = $\frac{u+v+w}{2}$

These all are the properties of a scalene triangle.