In the given figure, PQ = SR and PQ || SR. Prove that APSR = ARQP. Is PS = QR ?
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Answer:
Let PQR is a right angle triangle
PQ=6cm,∠RPQ=60
∘
=∠P
tan60
∘
=
PQ
QR
⇒
3
=
6
QR
⇒QR=6
3
sin60
∘
=
PR
QR
⇒
2
3
=
PR
6
3
⇒PR=6
3
×
3
2
=6×2=12
∴ The length of QR is 6
3
cms
∴ The length of PR is 12 cms
solution
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