if the diagonal of a rombus are 6 cm and 8 cm then find length of each side
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yash154689
Since diagonals are perpendicular we can find side using Pythagoras theorem i.e two sides will be 3cm and 4cm so third side will be I.e hypotenuse 5 cm
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Verified answer
[tex]Therefore, \: by \: Pythagoras \\ theorem \: in \: right \: ΔOBC, \\ we \: get \: ,[/tex]
[tex]Let \: us \: consider, \\ \\ AC = 8 cm \\ \\ BD = 6 cm \\ \\ then \: OD = OB = 3 \: cm \\ \\ OA = OC = 4 \: cm[/tex]
[tex] (BC ){}^{2} = \sqrt{(OB) {}^{2} + (OC) {}^{2} } \\ \\ BC= \sqrt{( {3) }^{2} + ( {4)}^{2} } \\ \\ BC= \sqrt{9 + 16} \\ \\ BC = \sqrt{25} \\ \\BC = 5 \: cm[/tex]