Question

ABC is a equilateral triangle.D and E are mid points of AB and AC. Prove that ar. of ADE= ar. of BDF= ar. of CEF = ar. of DEF.

Answer 1

hey!

given : ABC is an equilateral triangle where D and E are midpoints of side AB and AC

to proove : ar(∆ADE) =ar(∆BDF)=ar(∆CEF)=ar(∆DEF)

proof :

points to be know before solving

midpoint theorem
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•a line joining from the midpoints of two sides of a ∆ is parallel to the third side and is equal to half of it

•a diagonal of a || GM divides it into two triangles of equal area

•refer to the attachment for the solution

Answer 2

Answer:

by

weekly test lesson 8 aur 9