The length of the longest bar that can be fixed in a room of dimensions 12 m × 9 m × 8 m is
You can take a look at your own room for reference in this question. If you’re in a room right now, look at the wall that you’re facing, let the corners of this room be ABCD which is the face of a cuboid. The length of the cuboid is 12 m and the height is 9 m .Since, ABCD is a rectangle, ∠B = 90° we can see that AC is the hypotenuse if we consider
Δ ABC, AC2=BC2+AB2
⇒ AC = 15 m
We’ve been thinking in terms of 2 dimensional only till now but now let’s shift our focus to a little 3 dimensional thinking. Take a look at the figure given above, The Δ ACE is another right Δ where ∠C = 90°. Using Pythagoras theorem again, we have AE = 17 m.