Answer :

Area of triangle ADP : area of triangle ABD = 2 : 3

As AD is median

area of triangle ADB = area of triangle ADC = × area of triangle ABC

Let triangle ADP be 2x

And triangle ABD be 3x

Then Area of triangle ABC = 2 × Area of triangle ABD

= 2 × 3x

= 6x

area of triangle ADB = area of triangle ADC

area of triangle ADB = area of triangle ADP + area of triangle PDC

3x = 2x + area of triangle PDC

Area of triangle PDC = x

area of triangle PDC : area of triangle ABC

x : 6x

1 : 6

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