Bunuel
If triangle ABC is isosceles, what is the length of side BC?
(1) The length of side AB is 4.
(2) The length of side AC is 4√2 .
Given: triangle ABC is isosceles This tells us that the triangle has
two equal sides.
Target question: What is the length of side BC?When I scan the two statements, they both feel insufficient, AND I’m pretty sure I can identify some cases with conflicting answers to the
target question. So, I’m going to head straight to……
Statements 1 and 2 combined Here are two triangles that satisfy BOTH statements:
Case a: The triangle could look like this:

In this case, the answer to the target question is
side BC has length 4Case b: The triangle could also look like this:

In this case, the answer to the target question is
side BC has length 4√2Since we can't answer the
target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
RELATED VIDEO