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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Mathematics

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23 December, 20:50

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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Answers (1)

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Clara Becker · Answer 1

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