Answer:
The length of AB is 8
Step-by-step explanation:
The triangle ΔABC and ΔDEF are given as in figure-1
We can observe from given data that,
The length of sides of triangle ΔDEF is 4 times the sides of triangle ΔABC.
ΔABC ≅ ΔDEF
EF=4×BC
⇒ EF=4×(6)=24
DE=4×AB
Divide both sides by '4'
⇒ [tex]\frac{DE}{4}[/tex]=AB
⇒ [tex]\frac{32}{4}=AB[/tex]
⇒ 8=AB
Hence the length of AB is 8
