The value of AB in the given triangle =16
Step-by-step explanation:
Step-1
Write down the given values
AE = EC and BF = FC
EF = 8 and DF = 10
hence E is the midpoint of side AC as AE = EC
and F is the midpoint of side BC as BF = FC
therefore EF = 1/2 AB
[In a triangle the sequence joining the midpoint of two sides is parallel to the third side and is half of its length]
AB=2EF
AB=2*8 [as EF=8]
=16
AB=16
