What is the length of the diagonal square?

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Answer 1 · 2018-03-24T06:58:09

$d = 15.51$ $d=15.51$ inches if we take $\sqrt{2} \approx 1.41$ $sqrt2~~1.41$

If $\sqrt{2} \approx 1.41$ $sqrt2~~1.41$ is not given ,then $d = \sqrt{242} \approx 15.56$ $d=sqrt242~~15.56$

Let $x$ $x$ 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 $d=sqrt242~~15.56$