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anonymous

  • 4 years ago

Coordinate geometry State the perimeter of the triangle in simplest radical form.

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  1. anonymous
    • 4 years ago
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    A side: A to B is 6, B to C is -4 to 4, C to A: 6

  2. anonymous
    • 4 years ago
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    i'm confused 'cause the answer is 8 + 4√13... how?

  3. Mertsj
    • 4 years ago
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    Is it a right triangle?

  4. anonymous
    • 4 years ago
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    yes, it is

  5. anonymous
    • 4 years ago
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    no, it's an equilateral triagnle

  6. Mertsj
    • 4 years ago
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    So let me see if I have this right

  7. Mertsj
    • 4 years ago
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    No. Just a minute. What do you mean A to B is 6?

  8. Mertsj
    • 4 years ago
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    Side AB is 6 units long?

  9. Mertsj
    • 4 years ago
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    A/B= 6?

  10. Mertsj
    • 4 years ago
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    Can you draw a picture?

  11. anonymous
    • 4 years ago
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    here. |dw:1328386455510:dw|

  12. Mertsj
    • 4 years ago
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    |dw:1328386617260:dw|

  13. anonymous
    • 4 years ago
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    yup

  14. Mertsj
    • 4 years ago
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    in order to find the perimeter you have to find the lengths of all the sides and add them together. BC=8

  15. anonymous
    • 4 years ago
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    ohh, okay.

  16. Mertsj
    • 4 years ago
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    \[AC=AB=\sqrt{6^2+2^2}=\sqrt{40}=2\sqrt{10}\]

  17. Mertsj
    • 4 years ago
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    So the total of the three sides is \[8+2\sqrt{10}+2\sqrt{10}=8+4\sqrt{10}\]

  18. anonymous
    • 4 years ago
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    ooohh

  19. anonymous
    • 4 years ago
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    thank you!

  20. Mertsj
    • 4 years ago
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    No wait. I made a mistake

  21. Mertsj
    • 4 years ago
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    \[AB=AC=\sqrt{6^2+4^2}=\sqrt{52}=2\sqrt{13}\]

  22. anonymous
    • 4 years ago
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    huh?

  23. Mertsj
    • 4 years ago
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    So total perimeter is the same except change the 10 to a 13

  24. anonymous
    • 4 years ago
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    how did you get 2√13?

  25. Mertsj
    • 4 years ago
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    \[\sqrt{52}=\sqrt{4\times13}=2\sqrt{13}\]

  26. anonymous
    • 4 years ago
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    ohh... i see it now. Thank you!

  27. Mertsj
    • 4 years ago
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    yw.

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