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"Police are appealing to anyone who may identify the ID kits of the suspects below to come forward," Brigadier Neville Malila said on Tuesday.
They were compiled after police had interviewed witnesses.
The first attacker who entered Meyiwa's girlfriend Kelly Khumalo's home in Vosloorus, Ekurhuleni, on Sunday night was believed to be aged between 25 and 29.
He was believed to be 1.68m tall, slender, and had dreadlocks to just below his jawline, and a gold upper tooth. At the time of the crime he was wearing a brown jacket with a woollen collar and a hat with a checkered pattern.
The second man, who was standing outside the gate of Khumalo's house, was believed to be about 25, about 1.80m tall and slender. He wore a black hooded top and also had a gold tooth, dreadlocks, a beard, and a moustache.
Meyiwa was shot once in his upper body during a scuffle after two men entered Khumalo's home. A third man waited outside. One shot was fired inside the house and two more were fired randomly outside.
One attacker used a .38 revolver, so no cartridges were left on the scene, police said on Monday. He demanded cellphones and money.
National police commissioner Riah Phiyega announced on Monday that she had set up a multi-disciplinary task team of forensics, crime intelligence, and visible policing officials to handle the case.
A reward of R250,000 was being offered for information that could lead to the arrest and conviction of the killers.
Witnesses could not identify the third man as the focus was on the main suspect, who had the firearm and stole one cellphone.
