Question

The figure, bd = 8 , bc = 12 and b-d-c then a(∆abd) / a(∆adc) = …… / ….

Answer 1

Given:

The figure, bd = 8 , bc = 12 and b-d-c

To find:

The a(∆abd) / a(∆adc) =

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 Δ ABD,

Ar(∆ ABD) = 1/2 × BD × AX = 1/2 × 8 × h = 4h

Now consider,

Area of Δ ADC,

Ar(∆ ADC) = 1/2 × DC × AX = 1/2 × 4 × h = 2h

Therefore, we have,

Ar(∆ ABD) / Ar(∆ ADC) = 4h/2h

∴ The value of Ar(∆ ABD) / Ar(∆ ADC) = 2

Answer 2

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