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OpenSessame

  • 2 years ago

Determine whether a tangent line to circle O is shown in the diagram, for AB = 7.75, OB = 4, and AO = 8.75. Explain your reasoning. (The figure is not drawn to scale.)

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  1. OpenSessame
    • 2 years ago
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  2. Psymon
    • 2 years ago
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    Well, if that line is tangent to the circle, then the triangle, in this case, would havetobe a right triangle, correct?

  3. OpenSessame
    • 2 years ago
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    Yes! OHHH i got it!

  4. Psymon
    • 2 years ago
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    Mhm. Well if it were a right triangle, then that would mean that the pythagorean theorem would be valid. So if it is a right triangle, then \[8.75=\sqrt{4^{2}+7.75^{2}}\] So thats up to you to check

  5. OpenSessame
    • 2 years ago
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    i got that to equal 8.72?

  6. Psymon
    • 2 years ago
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    Right, so that means this isnt a right triangle because we didnt find it to equal 8.75. So it is not tangent then.

  7. OpenSessame
    • 2 years ago
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    Thanks man!

  8. Psymon
    • 2 years ago
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    Yep :3

  9. OpenSessame
    • 2 years ago
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    Didnt think about it that way lol

  10. Psymon
    • 2 years ago
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    Im not that great at geometry, so thats, like, theonly way I know how to look at it xD

  11. Directrix
    • 2 years ago
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    http://openstudy.com/study#/updates/503d1442e4b04bebe0426900

  12. Psymon
    • 2 years ago
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    Okay, so confirm im not crazy xD

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