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22 December, 05:48

A triangular bandana has an area of 78 square inches. The height of the triangle is 9

3

4

inches. Enter and solve an equation to find the length of the base of the triangle. Use b to represent the length of the base.

An equation to find the length of the base of the triangle is 78=

The length of the base of the triangle is inches.

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Answers (1)
  1. 22 December, 08:46
    0
    Area of a triangle = 1/2 * base * height

    Plug in what we know.

    78 = 1/2 * b * 9¾

    Multilply each side by 2 to get rid of the 1/2 ...

    156 = b * 9¾

    Write 9¾ as an improper fraction.

    (9¾ = 9 + 3/4 = (9*4) / 4 + 3/4 = 36/4 + 3/4 = 39/4)

    156 = b * 39/4

    Multiply each side by 4 ...

    624 = b * 39

    Divide each side by 39 ...

    16 = b

    Done! The length of the base of the triangle is 16 inches.
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