Find the lenght of a side of an Equilateral Triangle with sides with the following equations;

(x+3y-8)cm

(2x+y+3)cm

(5x-y+8)cm

Thanks. (Rofl)

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- May 31st 2010, 05:59 PMTren301ABC Equilateral Triangle
Find the lenght of a side of an Equilateral Triangle with sides with the following equations;

(x+3y-8)cm

(2x+y+3)cm

(5x-y+8)cm

Thanks. (Rofl) - May 31st 2010, 06:22 PMundefined
$\displaystyle x+3y-8 = 2x+y+3$

$\displaystyle x = 2y - 11$

$\displaystyle x+3y-8 = 5x-y+8$

$\displaystyle 4x = 4y - 16$

$\displaystyle x = y - 4$

$\displaystyle 2y - 11 = y - 4$

$\displaystyle y = 7$

$\displaystyle x = y - 4$

$\displaystyle x = 3$

$\displaystyle s = x+3y-8 = 3 + (3)(7) - 8 = 16\ \text{cm}$