The height of a triangle is 7 feet shorter than its base. The area is 30 ft. Find the length of the base and?

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2*30 = 60 = 12 x 5 Base 12 ft and height 5 ft ANSWER.

Area is (1/2) x base x height => (1/2) x be x (b - 7) = 30 => b² - 7b - 60 = 0 i.e. (b - 12)(b + 5) = 0 so, be = 12 feet :).

Base is either -5 feet or 12 feet. Negative value is impossible so its 12 nad height is 5 ft.

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Area of a triangle is calculated by 1/2 * base * height 1/2 * base * height = 30 ft we know base is X, and that height is then X-7. So, to solve for X: 1/2 * X * (X-7) = 30 (X^2 - 7X)/2 = 30 X^2 - 7X = 60 X^2 - 7X - 60 = 0 (X + 5)(X - 12) = 0 X = -5 and X = 12 X = -5 not possible in this problem so we know that X = 12, which is the length of your base. Height is 5.

Let the base be x feet Height = x - 7 feet Area = 1/2 X (x) ( x-7) = 1/2 ( x^2 - 7x) = 30 x^2 -7x = 60 x^2 -7x -60 = 0 ( x-12) ( x +5) = 0 x = 12 ANSWER Base = 12 feet Height = 5 feet.

(1/2) (x) (x - 7) = 30 x² - 7x = 60 x² - 7x - 60 = 0 (x - 12)(x + 5) = 0 x = 12 Base = 12 ft , height = 5 ft.

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