Math, asked by baski3d, 6 months ago

In triangle pqr, QS bisects PR and T is the mid point of QS. If PT produced meets QR at U, then find the value of QU in terms of QR.
Please give proper answer with steps and no scam.

Answers

Answered by 1FiNiX1
0

Answer:

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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

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