Let's do this question, find the length of the largest border that can be placed in a room of dimensions
12 metre into four metre into three metre.
Right.
This is nothing but the body diagonal.
Right.
And we have already discussed, if you remember the formula, the answer to this would be a square root
of 12 squared plus four squared plus three square right.
Now, let me discuss over here why this is so over here.
Let this be the room with 12 meter in the form meter in the three meter as the dimensions.
Now, we are asked to find this length over here.
Right between these two points, you will get the length of the largest pole that can be placed in the
room.
All right.
Now, let me take out the base.
That is the base part, the bottom part, and right over here like this.
Now, let's first find out this diagonal length and then we will apply the height on it.
And then we will find this link, which is this length over here, which is what we are trying to find
out all.
Now, this angle over here will be 90 degrees, because you can see that the height is a 90 degree angle
with respect to the base.
Now, let the dimensions of the base be twelve and four.
OK, so I can find that the diagonal over here is equal to 160.
Right root of 160 because the square is equal to twelve squared plus four square.
That's one forty four plus sixteen.
That gives you 160 ends.
This is equal to.
Square root of.
Well, squared plus four square.
Now, that would be for Rootin.
All right, now this is let me take this as Langdell, which is what we are trying to find out.
And the height would be three meters now over here.
Also, I have a right the right angle triangle.
Therefore, Il Square is equal to three square plus square.
Right.
That means Elz Square is nine plus 160 and that's equal to one sixty nine.
Right.
And that's the same thing that you get over here.
12 square is 140 for sixteen point four square is sixteen and three square is nine.
So if you add this up you will get one sixty nine.
Right.
That's the same thing over here.
And that is why it is equal to square root of 169, which is equal to thirteen.
And that is the answer to this question.