Q110 of 142 Page 88

Find the length of the side of a square if the length of its diagonal is 10 cm.

Given: length of diagonal = 10cm

i.e. let side of square (AB) = xcm


x.JPG


length of diagonal (AD)2 = (AB)2 + (BD)2


(10)2 = (x)2 + (x)2


⇒ 100 = 2x2


⇒ x2 = 50


⇒


Side of square =


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