The height of a triangle is 3cm less than the length of its base and is area is 27m, find the height

Question

Mathematics

Gwendolyn Conway

27 May, 07:27

The height of a triangle is 3cm less than the length of its base and is area is 27m, find the height

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Answers (1)

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Ana Sanford · Answer 1

Area of a triangle=bh/2

27 = x (x-3) / 2

27 = (x^2-3x) / 2

54 = x^2-3x

x^2-3x-54=0

(x-9) (x+6) = 0

x=9, x=-6.

In this case, x must equal 9 since the base cannot be a negative number.

Final answer: Height=6 m