Eis the mid point of the median ad of a triangle abc. show that ar(triangle abe) = 1/4 ar(triangle abc)

Explanation:

In triangle ABC

ABD=ACD-------------(1)

In triangle  abd,BE is the median

Abe = bed-------------(2)

Now,

ABD = BED

=2 (BED)-----------(3)

ABC=ABD + ACD

ABC = 2(ABD)----- using(1)

ABC =2 * 2(BED)---- using(3)

ABC = 4(BED)

So,

(BED) = 1/4(ABC)

Hope It's Helps!

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.