A right triangle may be isosceles or scalene. In an obtuse triangle, one angle is greater than a right angle—it is more than 90 degrees. An obtuse triangle may be isosceles or scalene. In an acute triangle, all angles are less than right angles—each one is less than 90 degrees.Click to see full answer. Similarly, you may ask, can an isosceles triangle have a right angle?No, an isosceles triangle does not always have a right angle.Secondly, can a right triangle be isosceles True or false? If a triangle is equilateral, it’s isosceles. A ray has one endpoint. An isosceles triangle cannot be a right triangle. Subsequently, question is, can a right triangle and an isosceles triangle be similar? Answer and Explanation: Yes, two right isosceles triangles are always similar. To prove why this is the case, we can determine that the angles of any right isosceles triangleDoes a right triangle have to be isosceles?A right triangle has one angle equal to 90 degrees. A right triangle can also be an isosceles triangle–which means that it has two sides that are equal. A right isosceles triangle has a 90-degree angle and two 45-degree angles. This is the only right triangle that is an isosceles triangle.