Question

In the figure BD=8,BC=12 and B-D-C then A(∆ABD)/A(∆ADC).../....

Answer 1

Step-by-step explanation:

Given:-

BD=8

BC=12

B-D-C

TO Find :-. A(∆ABD)/A(∆ADC) =?

Construction: Draw a line perpendicular to the BC from A and mark the point as X.

Consider the attached figure while going through the following steps.

Solution:-

Area of A ABD,

A(A ABD) = 1/2 x BD x AX = 1/2 × 8 × h = 4h

Now consider,

Area of A ADC,

A(A ADC) = 1/2 × DC × AX = 1/2 x 4 × h = 2h

Therefore, we have,

A(∆ABD) / A(∆ADC) = 4h / 2h

Therefore The value of Ar(A ABD) / Ar(A ADC) is 2