Math, asked by thanangibros, 5 months ago

The given figure shows a right triangle PQR, which is right-angled at P such that Q=2 PRO. If the perimeter of A PQR is [7√3 (√3+1)] cm , then what is its area?
(A) 27(√3–1)cm²
(B) 27/2 (√3–1)cm²
(C) 49√3cm²
(D) 49/2√3cm²​

Answers

Answered by Sanumarzi21
0

see the above attachment mate

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Attachments:
Answered by ranjanasharma0136
10

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

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