Answer:
The length of each side are 9 cm, 23 cm and 15 cm
Step-by-step explanation:
we know that
The perimeter of triangle is the sum of its three length sides
[tex]P=x+(3x-4)+(x+6)[/tex]
[tex]P=47\ cm[/tex]
so
[tex]47=x+(3x-4)+(x+6)[/tex]
Solve for x
[tex]47=5x+2[/tex]
[tex]5x=47-2[/tex]
[tex]5x=45[/tex]
[tex]x=9\ cm[/tex]
Find the length of each side
[tex]x=9\ cm[/tex]
[tex](3x-4)=3(9)-4=23\ cm[/tex]
[tex](x+6)=9+6=15\ cm[/tex]
therefore
The length of each side are 9 cm, 23 cm and 15 cm
