Let x be the width of the triangle.
Therefore, the height of the triangle will be x - 2.
The formula for the area of a triangle is:
Area = (base * height) / 2
24 = (x * (x - 2)) / 2
48 = x^2 - 2x
x^2 - 2x - 48 = 0
(x - 8)(x + 6) = 0
x = 8 cm (since the width cannot be negative)
Therefore, the width of the triangle is 8 cm and the height is 6 cm.
The height of a triangle is 2 cm less than its width. The area of the triangle is 24 cm(squared). What are the measures of the base and height?
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