Answer:
Step-by-step explanation:
Given that,
∆DEF is similar to ∆ABC
∆DEF ≈ ∆ABC
Then, using similar triangle properties
DE / AB = DF /AC = EF / BC
Given that,
EF = 5cm, DE = 6cm and DF = 8cm
6 / AB = 8 / AC = 5 / BC
We need one more data, to solve this problem, so the question is not complete, but let assume AC is 16cm
Then, we can find AB and BC
So, taking each part of the equation
6 / AB = 8 / AC
Since we assumed AC = 16cm
6 / AB = 8 / 16 = ½
6×2 = AB
AB = 12cm
Taking the other parts of the equation
8 / AC = 6 / BC
8 / 16 = 5 / BC
½ = 5 / BC
Bc = 2 × 5
BC = 10cm.
