SOLUTION: The base and height of a triangle are (x+3)cm and (2x-5)cm respectively.If the area of the triangle is 20cm squared ,find x
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Question 1109388: The base and height of a triangle are (x+3)cm and (2x-5)cm respectively.If the area of the triangle is 20cm squared ,find x
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The base and height of a triangle are (x+3)cm and (2x-5)cm respectively.If the area of the triangle is 20cm squared ,find x
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Area = (1/2)(base)(height)
20 = (1/2)(x+3)(2x-5)
40 = 2x^2 +x - 15
2x^2 + x - 55 = 0
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x = [-1 +- sqrt(1-4*2*(-55))]/4
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x = [-1 +- sqrt(520)]/4
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x = 20/4 = 5
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Cheers,
Stan H.
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