AMO 2022 – Secondary 2 (Grade 8) Question 4

Question 4

ABCDEFGH is a cube with edge AB equal to 1 inch. Triangle ABG is drawn inside it. What is the perimeter of triangle ABG, in inches?

Question illustration

$3.5$
$\sqrt5$
$\sqrt6$
$\sqrt3+\sqrt2+1$
$\sqrt7$