∆P QR ∼ ∆DEF for the correspondence P QR ↔ DEF. If 3P Q = 2DE, EF = 6 and P R = 8 find QR and DF.
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1
Answer:
ΔABC∼∆DEF (given)
2AB=DE, BC=6cm (given)
∠E=∠B and ∠D=∠A and ∠F=∠C
2AB=DE
⇒
DE
AB
=
2
1
Therefore,
DE
AB
=
EF
BC
2
1
=
EF
6
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