Question

Show that a median of a triangle divides it into two triangles of equal areas

Answer 1

Answer:

Let ABC be a triangle and Let AD be one of its medians. In $$\triangle ABD$$ and $$\triangle ADC$$ the vertex is common and these bases BD and DC are equal. Hence the median of a triangle divides it into two triangles of equal areas.

Answer 2

Answer:

Step-by-step explanation:

to prove:

ar(triangle ADB) = ar(triangle ADC)

=> 1/2 *b*h = i/2*b*h

=>1/2*BD*AD=1/2*AD*DC    ....eqn 1

=> since BD=DC[AD is a median]

therefore, eqn 1 is true

hence, proved