Tetromino Diagonal
Can you calculate the length of this diagonal line?
Age
14 to 16
Challenge level
Problem
Four unit squares are placed edge to edge as shown. What is the length of the diagonal line drawn?
Image
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
Student Solutions
By Pythagoras theorem the length of the diagonal is
$\sqrt{3^2+2^2}=\sqrt{9+4}=\sqrt{13}$.