Question

in triangle abc d e f are the midpoints of sides ab bc and ac respectively find the ratio of area of a triangle d e f and area of triangle ABC

Answer 1

The correct answer is 1:4.
Hope the picture below helps you.
If yes then please don't forget to mark my answer as the brainliest answer.


Thanks.

Answer 2

Hello,
In triangle ADF & DEF,
        ANGLE D= ANGLE F
                   DF=DF
          ANGLE F= ANGLE D     
  THUS,BOTH TRIANGLES ARE CONGRUENT
      THEREFORE, ratio of these two triangles is 1:1....(1)

Similarly, triangle BDE are congruent DEF......(2)
              triangleCEF are congruent DEF........(3)
 
        FROM EQUATIONS ,1 , 2 & 3 
      WE GET THAT, THE RATIO OF ABC AND DEF IS 4:1    

HOPE I HELPED U 
PLZZZZZZZ MARK AS BRAINLIEST