Question

(3) In AXYZ. XY= 4, YZ= 6, X2=5. If AXYZ APQR, PQ=8. Find the lengths of remaining
sides of APOR.​

Answer 1

Answer:

QT ⊥ PR

RQ = 6, PS = 6 and PR = 12

With base PR and height QT, A(△PQR)=

1

2

×PR×QT

With base QR and height PS, A(△PQR)=

1

2

×QR×PS

∴

A(△PQR)

A(△PQR)

=

1

2

×PR×QT

1

2

×QR×PS

⇒1=

PR×QT

QR×PS

⇒PR×QT=QR×PS

⇒QT=

QR×PS

PR

=

6×6

12

=3

Hence, the measure of side QT is 3 units.