(2) In the given figure, In A PQR, P - S - Q and P- T- R seg ST || seg QR (i) If PS = 8, PT = 10, , SQ = 8.4 then find TR. (ii) If PS = 4, SQ = 6 PR = 15 then find PT.
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In the given figure, in a triangle PQR, ST ∣∣ QR and
SQ
PS
=
5
3
and PR=28cm, find PT.
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Solution
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Verified by Toppr
ST∥QR [ Given ]
∴
PQ
PS
=
PR
PT
[ By BPT ]
⇒
SQ
PS
=
5
3
and PR=28cm [ Given ]
⇒
PS
SQ
=
3
5
⇒
PS
SQ+PS
=
3
5+3
∴
PS
PQ
=
3
8
⇒
PQ
PS
=
8
3
⇒
PQ
PS
=
PR
PT
⇒
8
3
=
28
PT
⇒ PT=
8
28×3
∴ PT=10.5cm
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