UPSC CDS 2 2022 Math Paper

Longest diagonal of the room =√l2+b2+h2
Where, 1= length, b= breadth and h= height
Let the value of Height =12
According to the question
Then, Breadth =(‌

4

3

×12)=16
Length =(‌

21

16

×16)=21
Now, longest diagonal of the room =√‌(12+b2+h2)
⇒L=√‌(212+162+122)
⇒L=√‌(441+256+144)
⇒L=√841
⇒L=29
Now,
⇒‌

H

L

=‌

12

29

⇒12L=29H