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17 November, 18:05

A triangle has an area of 36 square feet. If the height of the triangle is 6 more feet than its base, what is its height and base?

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  1. 17 November, 18:32
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    If b is the base then the height h=b+6. As we have S=bh/2 then

    36=b (b+6) / 2;

    b²+6b-72=0;

    D/4=3²+72=81

    b₁=-3-9=-12

    b₂=-3+9=6.

    The base is always positive so b=6, h=6+6=12.

    Answer: base=6 ft, height=12 ft.
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