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Mckenna
Mckenna asked in Science & MathematicsMathematics · 8 years ago

How to find the median of a triangle?

If A (2,18)

B (-2,-4)

C (6,12)

What is the equation of the line containing the median from A to BC?

I know that the midpoint of BC is (2,4) and the vertex A (2,18) but what do I do after that?

2 Answers

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  • Your Answer
    Lv 6
    8 years ago

    If A (2,18)

    B (-2,-4)

    C (6,12)

    What is the equation of the line containing the median from A to BC?

    I know that the midpoint D of BC is (2,4) and the vertex A (2,18) so you also know that A and D both lie on line x = 2 and length of AD is 18 -- 4 = 14 and Centroid of triangle ABC is (2, 34/3).

  • Good guy
    Lv 7
    8 years ago

    Hello

    If you know two points, you can determine the slope

    Slope = Δy/Δx = y2-y1/x2-x1 = (18-4)/(2-2) = 14/0 = inf

    Yes you notice that the midpoint and A have the same x, so that the line is vertical. Its slope is infinite.

    Then the equation has the form x = something

    What is something ? it passes through 2,4 and 2,18, so the equation is

    x = 2

    Hope it helps

    Bye !

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