It is given that AB = 7cm, ∠A = 50o and (BC – AC) = 8cm
The sum of any two sides of a triangle is greater than the third side
It can be written as
AB + AC > BC
Subtracting AC both sides
AB + AC – AC > BC – AC
So we get
AB > BC – AC
According to the question AB < BC – AC
Therefore, construction of △ ABC for the measurements given is not possible.