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26 January, 21:17

Compare the medians in an equilateral triangle with those in a scalene triangle

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  1. 26 January, 21:46
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    I'll just put the formula that are needed to find the median of an equilateral triangle and a scalene triangle.

    Triangle ABC:

    Equilateral triangle has 3 equal sides and 3 equal angles.

    a = measure of the side length.

    Solving for the median:

    mA = mB = mC = a * √3/2

    medians of A, B, C are equal.

    Scalene triangle - have different side length, have different angles.

    mA = √ (2b² + c² - a²) / 2

    mB = √ (2a² + c² - b²) / 2

    mC = √ (2a² + b² - c²) / 2
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