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1 November, 07:12

Each side of an equilateral triangle measures 9cm. Find the height, h, of the triangle.

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Answers (2)
  1. 1 November, 07:48
    0
    You can make the equilateral triangle into a right triangle by cutting it in half. So, your sides would be 4.5, 9, and x.

    Using Pythagorean Theorem, you know that a^2 + b^2 = c^2.

    The 'a' would be equal to 9, and 9^2 is equal to 81.

    B is equal to 4.5, and 4.5^2 is 20.25.

    So, you have the following:

    81 + 20.25 = c^2

    And that makes 'c' equal to 101.25.

    The square root of 101.25 is approximately equal to 10.06.

    So now you know the height, 10.06.
  2. 1 November, 10:04
    0
    I got 7.8 (rounding to the nearest tenth)

    i used the smas formula but i got : (4.5*4.5+x^2=9*9)

    so, 20.25+x^2=81

    then, x^2 = 60.75 (i got 60.75 from subtracting 20.25 from 81)

    fonal answer: square root both sides
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