in the figure BD=8,BC=12,B-D-C, then A (∆ABD)/A(ADC)=?
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Answer:
Step-by-step explanation:
To find:
The a(Aabd)/ a(Aadc) =
Solution:
From given, we have,
BD = 8, BC = 12 and B-D-C
Consider the attached figure while going through the following steps.
Construction: Draw a line perpendicular
to the BC from A and mark the point as X.
Now consider,
Area of A ABD,
Ar(A ABD) = 1/2 x BD x AX = 1/2 x 8 x h = 4h
Now consider,
Area of A ADC,
Ar(A ADC) = 1/2 x DC X AX = 1/2 x 4 × h = 2h
Therefore, we have,
Ar(A ABD) / Ar(A ADC) = 4h/2h
:. The value of Ar(A ABD) / Ar(A ADC) =
2
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