Question

in a triangle ABC,E is the mid-point of median AD. show that (BED)=1/4 ar (ABC)

Answer 1

Please select as brain list answers.

Answer 2

Answer:

Hence Proved,

Area of BED = 1/4* Area of ABC

Step-by-step explanation:

Draw triangle named, ABC in which draw median AD.

D is the midpoint of side of BC

So, BD= DC

and E is the midpoint of AD.

This implies,  AE= DE (E is the midpoint of AD)

so, AD= 2 AE = 2 ED

Area of triangle ABC = 1/2*base*height

= 1/2 BC*AD

= 1/2 *(2BD)*(2ED)

= 1/2 *(4* BD*ED)

= 4* (1/2*BD*ED)

= 4* Area of BED

therefore, Area of ABC= 4* Area of BED

or Area of BED = 1/4* Area of ABC