# SOLUTION: The base of a triangle is x cm long and its altitude is quarter the length of its base. if the triangle has an area of 12 cm2, form an equation in x and solve it.

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 Question 414702: The base of a triangle is x cm long and its altitude is quarter the length of its base. if the triangle has an area of 12 cm2, form an equation in x and solve it.Answer by nerdybill(6951)   (Show Source): You can put this solution on YOUR website!The base of a triangle is x cm long and its altitude is quarter the length of its base. if the triangle has an area of 12 cm2, form an equation in x and solve it. . altitude is the same as the height of a triangle . and, we know that for any triangle area = (1/2)bh where b is base h is height . Let x = base then x/4 = altitude 12 = (1/2)x(x/4) 12 = x(x/8) 12 = x^2/8 12/8 = x^2 3/2 = x^2 1.225 cm = x (base) . altitude: .306 cm