In triangle PQR,S and T are the midpoint of QR and PQ respectively .PR = 24cm ,QR=13 cm and the perimeter of triangle PQR Zis 52 cm .Find the length of QT and TS
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Answered by
2
Answer:
qt is 32cm
and its is 34cm
Answered by
1
ANSWER
ST is parallel to QR (since ST is mid-point of PQ and PR) by proportionality theorem
P
S
P
Q
=
S
T
Q
R
⇒
P
S
P
S
+
P
S
=
S
T
Q
R
⇒
1
2
=
S
T
Q
R
⇒
Q
R
=
2
×
S
T
⇒
2
×
6.2
⇒
12.4
PQ
PS
=
QR
ST
⇒
PS+PS
PS
=
QR
ST
⇒
2
1
=
QR
ST
⇒QR=2×ST
⇒2×6.2
⇒12.4
.
ST is parallel to QR (since ST is mid-point of PQ and PR) by proportionality theorem
P
S
P
Q
=
S
T
Q
R
⇒
P
S
P
S
+
P
S
=
S
T
Q
R
⇒
1
2
=
S
T
Q
R
⇒
Q
R
=
2
×
S
T
⇒
2
×
6.2
⇒
12.4
PQ
PS
=
QR
ST
⇒
PS+PS
PS
=
QR
ST
⇒
2
1
=
QR
ST
⇒QR=2×ST
⇒2×6.2
⇒12.4
.
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