3. In adjoining figure 1.14seg PS ^ seg RQ seg QT ^ seg PR. If RQ = 6,

1.	3. In adjoining figure 1.14seg PS ^ seg RQ seg QT ^ seg PR. If RQ = 6, PS = 6 and PR = 12,then find QT.
Answer» Answer: GIVEN: PS ⊥ RQ QT ⊥ PR RQ = 6, PS = 6 and PR = 12 With base PR and height QT, A(△PQR)=½×PR×QT With base QR and height PS, A(△PQR)=½×QR×PS ∴A(△PQR)/A(△PQR)=½×PR×QT/½×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.

3. In adjoining figure 1.14seg PS ^ seg RQ seg QT ^ seg PR. If RQ = 6, PS = 6 and PR = 12,then find QT.

Answer»

Answer:

GIVEN:

PS ⊥ RQ

QT ⊥ PR

RQ = 6, PS = 6 and PR = 12

With base PR and height QT,

A(△PQR)=½×PR×QT

With base QR and height PS,

A(△PQR)=½×QR×PS

∴A(△PQR)/A(△PQR)=½×PR×QT/½×QR×PS

⇒1=PR×QT/QR×PS

⇒PR×QT=QR×PS

⇒QT=QR×PS/PR

=6×6/12

Hence, the measure of side QT is 3 units.

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3. In adjoining figure 1.14seg PS ^ seg RQ seg QT ^ seg PR. If RQ = 6, PS = 6 and PR = 12,then find QT.​

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3. In adjoining figure 1.14seg PS ^ seg RQ seg QT ^ seg PR. If RQ = 6, PS = 6 and PR = 12,then find QT.