A kite is quadrilateral (convex) in which a pair of
adjascent sides are equal and the respective opposite pair of adjascent sides are
equal. The digagonals intersect at right angles. The shorter diagonal is
bisected.
A quadrilateral ABCD is a kite AB = AD and CD
= CB. The diagonals AC and DB intersect at right angles.
In
the given case,
AB
=AD= 4.3cm
CD = CB = 7.6
cm
The diagonal DB = 5.2
cm
Construction:
Draw DB
5.2cm.
Take 4.3 cm as radius in compass and with D as
centre draw an arc to cut the arc with same radius drawn with centre B. Let the
intersection of arcs be A.
Now take 7.6cm radius and draw
arcs on the other side of DB with centre D and B to intersect at
C.
Now by construction DB = 5.2, AD = AC =4.3cm , CD = CB
= 7.6cm. So ABCD is the required kite.
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