SOLUTION: The base of a triangle is 10 cm greater than the height. The area is 28 cm^2. Find the height and base.
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Question 762249: The base of a triangle is 10 cm greater than the height. The area is 28 cm^2. Find the height and base.
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Height = x
Base = x + 10
Area of triangle = 1/2(base*height)
28 = 1/2((x + 10)*x)
28 =1/2(x^2 + 10x)
56 = x^2 + 10x
x^2 + 10x - 56 = 0
(x - 4)(x + 14) = 0
x = -14 (No answer)
x = 4
Height = 4cm
Base = 14cm
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