The longest side of a triangle is twice a long as the shortest side, which is 2cm shorter than the third side. What is the length of each side of the triangle if it's perimeter is equal to 38 cm?
x = shortest side {longest side is twice as long as the shortest side}2x = longest side x + 2 = third side {the shortest side is 2 shorter than the third side}x + 2x + x + 2 = 38 {the perimeter is equal to 38} 4x + 2 = 38 {combined like terms} 4x = 36 {subtracted 2 from each side} x = 9 {divided each side by 4} 2x = 18 {substituted 9, in for x, into 2x} x + 2 = 11 {substituted 9, in for x, into x + 2} 9 is the shortest side18 is the longest side 11 is the third side Ask Algebra House
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