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geometry

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B is the midpoint of AC, D is the midpoint of CE, and Bd=14. find AE.

B is the midpoint of AC, D is the midpoint of CE and BD=7. Find AE.

  • geometry - ,

    Just lay out the points on the line
    BD contains the right half of BC and the left half of CE

    So, what's left is the same length: The left half of AC and the right half of CE

    AE = AB + BC + CD + DE
    but BD = BC + CD = 14
    so,
    AE = AB + 14 + DE
    However,
    AB = BC and CD = DE so AB+DE = BC+CD = 14

    AE = 14 + 14 = 28

    With that in hand, the 2nd problem should be trivial.

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