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math(geometry)

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find the altitude on hypotenuse if a=6cm and b=8cm?

  • math(geometry) -

    I'm guessing that you mean the hypotenuse is 8 cm.

    a^2 + c^2 = b^2

    6^2 + c^2 = 8^2

    36 + c^2 = 64

    c^2 = 64 - 36

    c^2 = 28

    c = 5.2915

    If you need to find the hypotnuse -- then

    6^2 + 8^2 = c^2

    36 + 64 = c^2

    100 = c^2

    10 = c

    The second solution is probably the one you need.

  • math(geometry) -

    I think I understand now. You are looking for the LENGTH of the hypotenuse.

  • math(geometry) -

    or, if D is the foot of the altitude on the hypotenuse AB, then by similar triangles

    CD/CA = CB/AB
    CD/6 = 8/10
    CD = 48/10 = 4.8

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