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A KITE
The definition of a kite is quadrilateral which one of the diagonal coincide with pivot diagonal another.
For example : the description of the picture
A
D B
C picture 1
If ABCD is a kite, then :
AB AD
BC DC
AC and BD is diagonal a kite. Diagonal AC and diagonal BC intersect at O.
<>Example : Look at the picture 1
AC = 10 , AO = 4 , DC = 8
Find DO !
Answer :
AC = AO + OC
10 = 4 + OC
OC = 6
To find OD we use the Pythagoras theorem because < COD is a right angle.
OD2 + OC2 = DC2
OD2 = DC2 – OC2
OD =
=
=
=
= 2
Exercise :
Look at the picture 2 A
AC = 15
AD = 6
DC = 12 D B
Find DO !
C