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Is it true that an isosceles triangle can be acute or obtuse?
Yes, it is true that an isosceles triangle can be acute or obtuse. As long as a triangle has two equal angles and two equal sides, it is isosceles. That situation can occur in both acute (all angles less than 900) and obtuse (one angle more than 900) triangles. Examples are a triangle with the angles being 75-75-30 degrees (acute) and one having angles of 120-30-30 (obtuse). Of course the sides of the angles that are equal would also be equal, so both examples are of isosceles triangles.
Is it true that isosceles triangles may be obtuse or acute but never right?
No, it is not true.
What is the least number of angles an acute triangle can have?
All acute triangles have 3 interior angles and 3 exterior angles. This is true for all triangles.
Can an Isosceles triangles may be obtuse or acute but never right?
Not true. A triangle with angles of 90, 45 and 45 is a right angled isosceles triangle. If you take a square piece of paper and fold it in half - from corner to corner - you will get this shape.
Are all equilateral triangles isosceles true or false?
False. Equilateral triangles are equilateral. All isosceles triangles have two of the sides the same, with the hypotenuse being longer than the other two.
