Geometry Inscribed

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line BC is tangent to circle A at B and to circle D at C (not drawn to scale) AB=11, BC=23,and DC=2. find AD to the nearest tenth.

Image: i.imgur(dot)com/f4ThxTu.jpg

  • Geometry Inscribed -

    I looked at your diagram and noticed that you sketched a line from D to AB

    That was good, now let the point of contact be E
    so clearly triangle ADE is right-angled
    with AE = 9 and DE = 23
    by Pythagoras:
    AD^2 = 9^2 + 23^2 = 610
    AD = √610 = appr 24.7

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