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Mathematics
Mathematics
Problem
Quadrilateral
A
B
C
D
ABCD
A
B
C
D
has side lengths
A
B
=
7
cm
,
B
C
=
8
cm
,
C
D
=
5
cm
,
D
A
=
6
cm
AB = 7\,\text{cm},\; BC = 8\,\text{cm},\; CD = 5\,\text{cm},\; DA = 6\,\text{cm}
A
B
=
7
cm
,
B
C
=
8
cm
,
C
D
=
5
cm
,
D
A
=
6
cm
. The diagonal
A
C
AC
A
C
measures
9
cm
9\,\text{cm}
9
cm
. (i) Calculate the area of
△
A
B
C
\triangle ABC
△
A
B
C
. (ii) Calculate the area of
△
A
D
C
\triangle ADC
△
A
D
C
. (iii) Hence, determine the area of quadrilateral
A
B
C
D
ABCD
A
B
C
D
.
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