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Let's do this question, find the length of the largest border that can be placed in a room of dimensions

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12 metre into four metre into three metre.

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Right.

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This is nothing but the body diagonal.

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Right.

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And we have already discussed, if you remember the formula, the answer to this would be a square root

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of 12 squared plus four squared plus three square right.

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Now, let me discuss over here why this is so over here.

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Let this be the room with 12 meter in the form meter in the three meter as the dimensions.

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Now, we are asked to find this length over here.

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Right between these two points, you will get the length of the largest pole that can be placed in the

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room.

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All right.

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Now, let me take out the base.

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That is the base part, the bottom part, and right over here like this.

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Now, let's first find out this diagonal length and then we will apply the height on it.

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And then we will find this link, which is this length over here, which is what we are trying to find

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out all.

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Now, this angle over here will be 90 degrees, because you can see that the height is a 90 degree angle

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with respect to the base.

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Now, let the dimensions of the base be twelve and four.

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OK, so I can find that the diagonal over here is equal to 160.

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Right root of 160 because the square is equal to twelve squared plus four square.

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That's one forty four plus sixteen.

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That gives you 160 ends.

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This is equal to.

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Square root of.

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Well, squared plus four square.

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Now, that would be for Rootin.

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All right, now this is let me take this as Langdell, which is what we are trying to find out.

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And the height would be three meters now over here.

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Also, I have a right the right angle triangle.

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Therefore, Il Square is equal to three square plus square.

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Right.

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That means Elz Square is nine plus 160 and that's equal to one sixty nine.

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Right.

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And that's the same thing that you get over here.

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12 square is 140 for sixteen point four square is sixteen and three square is nine.

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So if you add this up you will get one sixty nine.

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Right.

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That's the same thing over here.

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And that is why it is equal to square root of 169, which is equal to thirteen.

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And that is the answer to this question.