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  1. In ∆ABC, a line through A cuts the side BC at D such that BD : DC = 4 : 5. If the area of ∆ABD = 60 cm², then the area of ∆ADC is
    1. 90 cm²
    2. 50 cm²
    3. 60 cm²
    4. 75 cm²
Correct Option: D

Using Rule 1, A

Let, AE ⊥ BC

Area of ∆ABD
Area of ∆ADC

=
1
× BD × AE
2
1
× CD × AE
2

60
=
BD
∆ADCCD

=
60
=
4
∆ADC5

∆ADC =
A60 × 5
4

= 75 sq. cm.



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