C-16-Q139mediumsingle_mcq

The ratio of length, width, height of a rectangular solid is $21 : 16 : 12$ and the diagonal is $87$ cm. The length is —

Let the dimensions be $21k,16k,12k$ ; then the diagonal is $k\sqrt{21^2+16^2+12^2}=k\sqrt{841}=29k=87$ , so . The length is cm.

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84

84

84

k841=

29k=

k=3

21k=63