A long stick has to be carried horizontally along a narrow corridor and around a right-angled bend. The corridor is $a$ centimetres wide on one side of the bend and $b$ centimetres wide on the other side. Find, in terms of $a$ and $b$, the length of the longest stick that can be manoeuvered horizontally around the bend?

If the object is 2 metres long and the two branches of the corridor are 65 centimetres and 75 centimetres respectively is it possible to manoeuvre the stick around the bend.