Question

In ∆ABC AD is the median BC=7 and BD=3 then write the ratio of A(∆ABC):A(∆ADC)

Answer 1

Answer:

2:1

Step-by-step explanation:

GIVEN AD is the median which divides side BC into BD and CD in triangle ABC .

TO FIND ratio of area of triangle ABC:area of triangle ADC

SOLUTION Median divides triangle into two equal areas

therefore, area of triangle ADC=area of triangle ADB

area of triangle ADC =1/2 area of triangle ABC

NOW,

area of triangle ABC/area of triangle ADC =

area of triangle ABC/ 1/2area of triangle ABC =

2 area of triangle ABC/ area of triangle ABC =

2:1