in a triangle ABC E is the mid point of median AD of triangle ABC If area of - Maths - Quadrilaterals

Question

in a triangle ABC E is the mid point of median AD of triangle
ABC If area of triangle BED =20 cm square, then find area of
triangle ABC

Aditya Vallabh · Accepted Answer

The answer is 80cm2
This is beacuse if you join E to C, you will get 4 triangle of
equal areas by the property that a median divides a triangle into 2
triangles of equal areas So,
ar(BED) * 4 = ar(ABC)
=> ar(ABC) = 4 * 20cm2 = 80cm2

in a triangle ABC. E is the mid point of median AD of triangle ABC. If area of triangle BED =20 cm square, then find area of triangle ABC.