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Math Help - Midpoints in a Triangle

  1. #1
    mdk
    mdk is offline
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    Midpoints in a Triangle

    Please help with the following problem:

    in triangle ABC let points D and E be the midpoints of sides AB and AC. Show DE must be half the length of BC.

    Thank you,
    mdk
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  2. #2
    Senior Member
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    Quote Originally Posted by mdk View Post
    Please help with the following problem:

    in triangle ABC let points D and E be the midpoints of sides AB and AC. Show DE must be half the length of BC.

    Thank you,
    mdk
    \triangle ABC is congruent to \triangle ADE, then we have

    \frac{AD}{AB} = \frac{DE}{BC}

    \frac{1/2 AB}{AB} = \frac{DE}{BC}

    DE = \frac{1}{2}BC
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