saynanahmed13 saynanahmed13
  • 26-04-2018
  • Mathematics
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The base of a triangle is 40 mm more than its height if the area of the triangle is 88 mm^(2) what is the height

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TheWiseOrange
TheWiseOrange TheWiseOrange
  • 27-04-2018
Answer: 4mm

Explanation:

[tex]88 = \cfrac{1}{2}x(x+40)[/tex]

[tex]88 = \cfrac{1}{2}x^2 + 20x[/tex]

[tex]x^2 + 40x - 176 = 0[/tex]

[tex](x + 44)(x - 4 )=0[/tex]

[tex]x = -44 \ or \x =4[/tex]

[tex]x = 4[/tex]


The Wise Orange knows that height cannot be a negative value.
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