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Mathematics
Mathematics
Problem
In
△
P
Q
R
\triangle PQR
△
P
QR
, point
S
S
S
is the midpoint of side
P
Q
PQ
P
Q
. Point
T
T
T
lies on side
Q
R
QR
QR
such that
S
T
ST
S
T
is parallel to
P
R
PR
P
R
. a. (i) Prove that
T
T
T
is the midpoint of
Q
R
QR
QR
. b. (ii) Hence, show that
S
T
=
1
2
P
R
ST = \dfrac12 PR
S
T
=
2
1
P
R
. c. (iii) If
P
R
=
9.4
cm
PR = 9.4\,\text{cm}
P
R
=
9.4
cm
, calculate the length of
S
T
ST
S
T
.
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