Question

>explain your answer

>don't write rubbish answer

>correct answer will mark as brainliest.

>BE FAST..please​

Answer 1

Answer:

ΔBDE:ΔABC

1:4

2BD=BC[D is the mid point of BC]

BE=BD=DE - 1 [ΔBDE is an equilateral triangle]

BC=AB=AC -2 [ ΔABC is an equilateral triangle]

In triangle ABC and triangle BDE

THEREFORE

BD/BC=BE/AB=DE/AC

By SSS Similarity

ΔBDE ≈ ΔABC

NOW

ar(ΔBDE)/ar(ΔABC)= [Because ratio of areas of similar

triangles is equal to the square of the

ratios of their corresponding sides]

THEREFORE

ar(ΔBDE):ar(ΔABC)=

=

=

=1/4 i.e 1:4

Step-by-step explanation:

HOPE YOU FIND THE ANSWER USEFUL