Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

MID PTS THEOREM

Asked by 13th September 2009, 6:41 AM
Answered by Expert
Answer:

ΔABC is equilateral triangle, A = B = C = 60

and AB = BC = AC,

AD = DB.

AD + DB = AB

2 AD = AB

AD = AB/2

Similarly AF = AC/2

AF = AD since AC = AB.............(2)

ΔADF,

  A = 60 and  AFD = ADF .....from (2)

Hence AFD = ADF = 60.

Similary in,

ΔBDE,

BD = BE

  B = 60 and  BDE = DEB .....from (2)

Hence BDE = DEB = 60.

BDE + ADF + FDE = 180.

 FDE = 60.

Similarly in ΔDEF, the remaining two angles can be shown to be 60.

Hence triangle DEF is an equilateral triangle.

Regard,

Team,

TopperLearning.

Answered by Expert 13th September 2009, 2:44 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Chat with us on WhatsApp