Question

ABC congruent PQR if ab=4cm.pq=6cm.and Qr=9cm.then find Bc
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Answer 1

Step-by-step explanation:

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)

PQ/SP = QR/PR = PR/SR

(Properties of similar triangles)

=>8cm/SP = 6cm/3cm

⇒SP=4cm and

⇒ QR/6cm =6cm/3cm

⇒QR=12cm

(III)

ar(△PQR)/ar(∆SPR) =PQ²/SP²

=8²/4² =4