Problem:
A square of perimeter is inscribed in a square of perimeter . What is the greatest distance between a vertex of the inner square and a vertex of the outer square?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The inscribed square will touch each edge of the larger square, dividing that edge into segments and units long, where and . Solve simultaneously to find and . The greatest distance is therefore
.jpg)