(i) Find the side of a square whose diagonal is 10 cm.
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here ABCD is a square
as , diagonals of square are equal and bisect each other at 90°
from this we can say that
AC=BD= 10 cm
1/2AC= 1/2 BD=5cm
AO=CO=BO=DO= 5cm
and
angle AOB= angle BOC = angle COD = angle DOA = 90°
in , ∆AOB
as, angle AOB =90°
therefore, (AB)sq = (BO)sq + (AO)sq { Pythagoras theorem}
(AB)sq= 5*5 + 5*5
AB = 5√2 cm
as,
Area is square = side * side
5√2*5√2
50cm square
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