No, an isosceles triangle does not always have a right angle. An isosceles triangle is defined as a triangle that has at least two sides of equal length. This property can exist in various types of triangles.
Isosceles triangles can be classified into three types:
- Acute Isosceles Triangle: All angles are less than 90 degrees.
- Right Isosceles Triangle: One angle is exactly 90 degrees.
- Obtuse Isosceles Triangle: One angle is greater than 90 degrees.
While a right isosceles triangle does exist, it is just one possible form of an isosceles triangle. Many isosceles triangles can have all acute angles or an obtuse angle. Therefore, it is incorrect to say that every isosceles triangle must have a right angle.