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17 September, 05:57

The height of a triangle is 5 m less than it's base. The area of the triangle is 42 m^2 what is the length of the base

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Answers (2)
  1. 17 September, 06:31
    0
    Here is the set up:

    A = (bh) / 2

    42 = [b • (b - 5) ]/2

    This is all you need. Solve the equation for b to find your answer.
  2. 17 September, 06:49
    0
    12 meters

    Step-by-step explanation:

    Let b = base

    then

    b-5 = altitude

    since we know that the area for any triangle is

    (1/2) bh

    where

    b is base

    h is height or altitude

    (1/2) b (b-5) = 42

    b (b-5) = 84

    b^2-5b = 84

    b^2-5b-84 = 0

    (b-12) (b+7) = 0

    b = {12, - 7}

    toss out the negative solution leaving:

    b = 12 meters
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