Question

In the given figure, PS || QR and ∠Q = 90°. Find the length of QR......pls answer...pls fast...

Answer 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

Answer 2

42

let this figure be a rectangle and a triangle ..

Therefore ,

rectangle's two sides sre equal

therefore we got one side of triangle which is 20 cm ... After dividing this figure into rectangle and triangle we got half side of QR which is 21 cm ..

Lets now calculate the other side of triangle ..

Therefore , its a right angle triangle =pythagorus triplets =

${a}^{2} \times {b}^{2} = {c}^{2}$

therefore

${20}^{2} + {29}^{2} = 441( {21}^{2} )$

hence answer is 21

Hope it helps you ..