To determine whether the statement "An isosceles triangle can be scalene" is true or false, we need to understand the definitions of isosceles and scalene triangles.
An isosceles triangle is a triangle that has at least two sides of equal length. This means it has two sides that are the same length, and the angles opposite those sides are also equal.
A scalene triangle, on the other hand, is a type of triangle where all three sides are of different lengths. This results in all three angles being different as well.
Considering the definitions:
- An isosceles triangle must have at least two sides that are equal.
- A scalene triangle cannot have any equal sides.
As a result, an isosceles triangle cannot be scalene because their fundamental properties contradict each other. Therefore, the statement is:
B. False
