[tex]x+2.9-\text{the length of two side}\\x-\text{the length of third side}\\\\\text{The equation}\\\\x+x+2.9+x+2.9=16\\3x+5.8=16\ \ \ \ \ \ |-5.8\\3x=10.2\ \ \ \ |:3\\x=3.4\\x+2.9=6.3\\\\Answer:\ 6.3\ cm,\ 6.3\ cm\ and\ 3.4\ cm[/tex]
The sides are 3.4cm, 6.3cm and 6.3cm.
A triangle has 3 sides and the perimeter is the addition of the sides.
Since 2 sides have been given, let the third side be represented by x.
Therefore, x + 2.9 + x + 2.9 + x = 16
3x + 5.8 = 16
Collect like terms
3x= 16 - 5.8
x = 10.2/3
x = 3.4
The sides are 3.4cm, 6.3cm and 6.3cm.
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