Question

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

Answer 1

Answer:

qt is 32cm

and its is 34cm

Answer 2

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
​
.