A triangle’s height is 6c meters and the base is c – 1 meters. Brian knows that the area of the triangle is 18 square meters and is trying to find the height. Which shows the equation Brian can use and the correct measure of the height of the triangle?Area of a triangle = 0.5(base)(height)

Use the triangle area formula: 0.5(base)(height) = 18, so 0.5(c − 1)(6c) = 18. Simplifying gives c² − c − 6 = 0, which factors to (c − 3)(c + 2) = 0; since a length must be positive, c = 3. The height is 6c = 18 meters, so choice B is correct.

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