What is the length of the diagonal square?

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Answer 1 · 2018-03-24T06:58:09

#d=15.51# inches if we take #sqrt2~~1.41#

If #sqrt2~~1.41# is not given ,then #d=sqrt242~~15.56#

Let #x# be length of the #square ABCD# enter image source here
In #triangle ABC,mangleB=pi/2, and AB=BC=x=11#

#:.AC^2=AB^2+BC^2#, where diagonal #AC=d#

#=>AC^2=11^2+11^2=121+121#

#=>d^2=2(121)#

#=>d=sqrt(2xx121#

#d=11sqrt2=11xx1.41# ( if #sqrt2=1.41) #

#d~~15.51#

Hence the length of the diagonal of square #d=15.51# inches

OR,

If #sqrt2~~1.41# is not given ,then#d=sqrt242~~15.56#