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Mathematics
Problem
In quadrilateral
P
Q
R
S
PQRS
P
QR
S
, sides are
P
Q
=
6
cm
,
Q
R
=
8
cm
,
R
S
=
13
cm
,
S
P
=
13
cm
PQ = 6\ \text{cm},\ QR = 8\ \text{cm},\ RS = 13\ \text{cm},\ SP = 13\ \text{cm}
P
Q
=
6
cm
,
QR
=
8
cm
,
R
S
=
13
cm
,
S
P
=
13
cm
. The diagonal
P
R
PR
P
R
is common to two triangles, and
△
P
Q
R
\triangle PQR
△
P
QR
is right-angled at
Q
Q
Q
. Find the area of
P
Q
R
S
PQRS
P
QR
S
. a)
90
cm
2
90\ \text{cm}^2
90
cm
2
b)
84
cm
2
84\ \text{cm}^2
84
cm
2
c)
60
cm
2
60\ \text{cm}^2
60
cm
2
d)
108
cm
2
108\ \text{cm}^2
108
cm
2
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