Question

PQ=4.5cm,QR=6.5cm and PR=8cm verify if the following sre the sides of a triangle . give reason for your answers.​

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

Answer:

triangle has three side s

verification

pq+qr should not equal to or

then we can say these sides are of triangle

4.5+6.5=11

LHS is not equal to RHS

hence these sides are of triangle

Step-by-step explanation:

triangle has three side s

verification

pq+qr should not equal to or

then we can say these sides are of triangle

4.5+6.5=11

LHS is not equal to RHS

hence these sides are of triangle