Draw different isosceles triangles. Is it possible to draw an isosceles triangle with the base shorter than the two other sides?
Sometimes
Practice makes perfect
Let's begin with reviewing that an isosceles triangle. It is a triangle that has two sides of equal length. Now, we can draw an arbitrary isosceles triangle and determine the relationship between its base and the two other sides.
As we can see, in △ ABC base AC is shorter than sides AB and AC. Hence, we can discard the answer always. Let's now try to draw a isosceles triangle where the base is the longest side.
Here, base AC is longer than both AB and BC. Thus, it is possible to find an isosceles triangle where the base is the longest side, but it is not always the case. The answer is sometimes.
