Question

In the triangle ABC,D and E are the mid points of AB and AC respectively and DE. parallel BC . then the area of triangle ADE is. a) 4× area of ABC. b)1/2 area of ABC c) 1/4 area of ABC . please do the method also​

Answer 1

Answer:

c.1/4 area of ABC

Step-by-step explanation:

I hope it will help you.

Answer 2

Step-by-step explanation:

C.¼×Area of ∆ABC.

Given: In∆ABC.

1. D and E are midpoints of sides AB and AC.
2. DE||BC
3. AB=½AB or AE=½AC.

In ∆ADE and ∆ABC.

Angle B=angle D

angle C = Angle E

[ both: corresponding angles]

so, ∆ADE~∆ABC

ar(∆ADE)/ar(∆ABC)=(AD/AB)²

=> (AD/2AD)²= (1/2)²=1/4.

ar(∆ADE)=¼×ar(∆ABC).