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Mathematics
Mathematics
Problem
In
△
P
Q
R
\triangle PQR
△
P
QR
, right-angled at
R
R
R
,
tan
P
=
3
4
\tan P = \dfrac{3}{4}
tan
P
=
4
3
and the hypotenuse
P
Q
PQ
P
Q
measures
25
cm
25\,\text{cm}
25
cm
. What are the lengths of
P
R
PR
P
R
and
Q
R
QR
QR
respectively? a)
P
R
=
15
cm
,
Q
R
=
20
cm
PR = 15\,\text{cm},\; QR = 20\,\text{cm}
P
R
=
15
cm
,
QR
=
20
cm
b)
P
R
=
12
cm
,
Q
R
=
9
cm
PR = 12\,\text{cm},\; QR = 9\,\text{cm}
P
R
=
12
cm
,
QR
=
9
cm
c)
P
R
=
20
cm
,
Q
R
=
15
cm
PR = 20\,\text{cm},\; QR = 15\,\text{cm}
P
R
=
20
cm
,
QR
=
15
cm
d)
P
R
≈
16.6
cm
,
Q
R
=
18.75
cm
PR \approx 16.6\,\text{cm},\; QR = 18.75\,\text{cm}
P
R
≈
16.6
cm
,
QR
=
18.75
cm
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