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math/ geometry.

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the vertex angle of an isoceles triangle is 120. the base length is 18. what is the length of the altitude to the base in simplest form

  • math/ geometry. - ,

    tan(120°/2)=(18/2)/h

    tan(60°)=9/h

    h=9/tan(60°)=9*ctg(60°)

    h=9/sqroot(3)

    9=3*sqroot(3)*sqroot(3)

    h=3*sqroot(3)*sqroot(3)/sqroot(3)

    h=3*sqroot(3)

    h=5.1961524227

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