The height of a triangle is 4 more than the base. If the area is 30cm² find the height.
Area of a triangle is (1/2)(base)(height)
x = length of the base x + 4 = height {the height is 4 more than the base} (1/2)(x)(x + 4) = 30 {substituted into area formula} x(x + 4) = 60 {multiplied each side by 2, eliminating the fraction} x² + 4x = 60 {used distributive property} x² + 4x  60 = 0 {subtracted 60 from each side} (x + 10)(x  6) = 0 {factored into two binomials} x + 10 = 0 or x  6 = 0 {set each factor equal to zero} x = 10 or x = 6 {solved each equation for x} x = 6 {length of base cannot be negative} x + 4 = 10 {substituted 6, in for x, into x + 4} height = 10 cm Ask the House
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