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Math Help - Triangle Problem

  1. #1
    Junior Member
    Joined
    Oct 2009
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    38

    Triangle Problem

    Use an equilateral triangle where all 3 sides are represented by x, and the perpendicular bisector is represented by y.

    (a) Find y in terms of x. (x is the length of a side, y is the length of the perpendicular bisector)
    (b) Find the area A in terms of x. (Hint: Pythagoras.)

    (a) y(x)=
    (b) A(x)=
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  2. #2
    MHF Contributor
    Joined
    Mar 2007
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    1,240

    Talking

    a) The perpendicular bisector creates two right triangles, each having base x/2, height y, and hypotenuse x. What does the Pythagorean Theorem give you? Solve this for "y=".

    b) The base is x/2 and the height is y. What is the formula for the area A of a triangle with base b and height h? Plug into this.

    If you get stuck, please reply showing your progress so far. Thank you!
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