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the perimeter of the triangle shown to the right is 154 meters. find the lenght of each side. (4x)m  (7x+2)m  (7x+8)m

Sagot :

4x + 7x + 2 + 7x + 8 = 154
18x = 154 - 10
18x = 144
x = 8

Sides:  32 m,  58 m ,   64 m
The first to find the length of each side, we have to find the value of x :
[tex](4x) + (7x + 2) + (7x+8) = 154[/tex]

[tex]4x + 7x + 7x + 2+8 = 154[/tex]

[tex]18x +10 = 154[/tex]

[tex]18x = 154 - 10[/tex]

[tex]18x = 144[/tex]

[tex]x = \frac{144}{18} [/tex]

[tex]\boxed{x=8}[/tex]

Solution First side :
[tex](4x)m = (4 \cdot 8)m = 32\ m[/tex]
 
Solution Second Side :
[tex](7x+2)m = (7(8)+2)m = 58\ m[/tex]  

Solution Third Side :
[tex](7x+8)m = (7(8)+8)m = 64\ m[/tex]