Isosceles triangles may be obtuse or acute but never right.A.TrueB.FalseSUBMITarrow_backPREVIOUS

Answering the Question

To analyze the claim that isosceles triangles may be obtuse or acute but never right, we must consider the properties of isosceles triangles.

1. Definition of Isosceles Triangle: An isosceles triangle is defined as a triangle with at least two equal sides.

2. Types of Angles in Triangles:

   • An acute triangle has all angles less than $90^\circ$.
   • An obtuse triangle has one angle greater than $90^\circ$.
   • A right triangle has one angle exactly equal to $90^\circ$.

3. Properties of Isosceles Triangles:

   • If an isosceles triangle has one angle equal to $90^\circ$, the other two angles must be equal and, therefore, must each be $45^\circ$. This satisfies the definition of an isosceles triangle.
   • Thus, an isosceles triangle can indeed be a right triangle.

Conclusion

Based on this analysis, the statement that isosceles triangles may be obtuse or acute but never right is False.

Final Answer

B. False