SOLUTION: a triangle has an area of 28 inches the base is 6 inches less than the twice the height was the answer

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Question 564292: a triangle has an area of 28 inches the base is 6 inches less than the twice the height was the answer
Answer by ad_alta(240) About Me  (Show Source):
You can put this solution on YOUR website!
Let 'h' be the height and 'b' be the base. The area, 'A,' is equal to (1/2)bh. Since the base is 6 inches less than twice the height, b=2h-6. We have the equation 28=(1/2)(2h-6)h. Solving the quadratic equation [using the quadratic formula: x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+], we get h=7 (picking the positive answer, which is the one that makes sense in this case). This means that the base must be 8 inches.