Triangle ABC is a right-angled triangle. Given that two of its lengths are 11 cm and 5 cm, find two possible lengths for the third side of the triangle. Answer ... cm or ... cm

1. Find the third side when 11 cm is the hypotenuse

If $11$ cm is the hypotenuse, then
$x^2+5^2=11^2$
$x^2=121-25=96$
$x=\sqrt{96}$

2. Find the third side when the unknown side is the hypotenuse

If the third side is the hypotenuse, then
$x^2=11^2+5^2$
$x^2=121+25=146$
$x=\sqrt{146}$