A triangle has an area of 30 square feet. If the height is four feet less than its base, find the dimensions of the triangle.

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24-02-2016
Mathematics

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A triangle has an area of 30 square feet. If the height is four feet less than its base, find the dimensions of the triangle.

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Аноним Аноним · Answer 1 · 2016-02-24T03:50:41+01:00

Аноним Аноним

24-02-2016

the formula is bh/2=area
b*(b-4)/2=16
(b^2-4b)/2=16
b^2-4b=32
b^2-4b-32=0
(b-8)(b+4)=0

b-8=0
b=8 feet for the base.
h=8-4=4 for the height.
proof
8*4/2=16
32/2=16
16=16

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