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  1. #1
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    Construction help

    I need help constructing three circles that are externally tangent to each other, however, the circles are already given to me. Two of the circles are already externally tangent, I have to take the third and make it externally tangent to both, so ultimately I'll have three circles, all externally tangent to one another.

    Thanks in advance for any help.
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  2. #2
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    Hello, njgrillo!

    I need help constructing three circles that are externally tangent to each other.
    The circles are already given to me.
    Two of the circles are already externally tangent.
    I have to make the third circle externally tangent to both.
    I'll try to explain this without a diagram . . .


    We have a circle with center C_1 and radius r_1.
    We have a circle with center C_2 and radius r_2.
    . . These are externally tangent.

    We have a third circle with radius r_3.
    We want it to be externally tangent to both C_1 and C_2.


    Using C_1 as center, draw an arc with radius r_1+r_3

    Using C_2 as center, draw an arc with radius r_2+r_3
    . . intersecting the first arc at point P.

    P is the center of the third circle.


    Using P as center and r_3 as radius, draw the third circle.

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  3. #3
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    Quote Originally Posted by njgrillo View Post
    I need help constructing three circles that are externally tangent to each other, ...

    Thanks in advance for any help.
    According to Soroban's description I've made the sketch.
    Attached Thumbnails Attached Thumbnails Construction help-dreitangent_krse.png  
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