10. In the given figure, PQ = RS and Z PQR = Z QRS
s
P
Prove that
(i) PR= QS
(ii) QO = OR
Answers
Answered by
1
Answer
Given that:
QP=8cm,PR=6cm and SR=3cm
(I) In △PQR and △SPR
∠PRQ=∠SRP (Common angle)
∠QPR=∠PSR (Given that)
∠PQR=∠PSR (Properties of triangle )
∴△PQR∼△SPR (By AAA)
(II)
SP
PQ
=
PR
QR
=
SR
PR
(Properties of similar triangles)
⇒
SP
8cm
=
3cm
6cm
⇒SP=4cm and
⇒
6cm
QR
=
3cm
6cm
⇒QR=12cm
(III)
ar(△SPR)
ar(△PQR)
=
SP
2
PQ
2
=
4
2
8
2
=4
Answered by
1
Answer:
i) PR= QS
Step-by-step explanation:
well if it goes wrong then sorry
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