1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days
8104911739

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

022-62211530

Mon to Sat - 11 AM to 8 PM

# MID PTS THEOREM

Asked by 13th September 2009, 6:41 AM

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

and AB = BC = AC,

Similarly AF = AC/2

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

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
• 1
• 2
• 3
• 4
• 5
• 6
• 7
• 8
• 9
• 10

You have rated this answer /10

RELATED STUDY RESOURCES :

### Latest Questions

CBSE XI Science Mathematics
Asked by crsantoshnis 17th June 2019, 4:32 PM
ICSE X History and Civics
Asked by msharma10875 17th June 2019, 3:24 PM