Question

Complete each statement with the words always, sometimes or never.

If a triangle is obtuse then it is isosceles.

Short answer

If a triangle is obtuse, then it is sometimes isosceles.

Step-by-step solution

Step 1. Types of Triangles

Triangles are of three types if length of the sides is taken into consideration, that is, scalene triangle, isosceles triangle, and equilateral triangle.

Step 2. State the explanation

Isosceles triangle has two at least two congruent sides where as an obtuse triangle has an obtuse angle (an angle greater than $90°$) but it can have two congruent sides.

Step 3. Conclusion

If a triangle is obtuse, then it is sometimes isosceles.