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Gabylovesyou

  • one year ago

If A = (1, 4) B = (3, 1) and C = (6, 3), classify the the following triangle as either equilateral or right. Type the word equilateral or right in the blank. @ganeshie8

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  1. Gabylovesyou
    • one year ago
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    what formula should be used to find this ?

  2. Gabylovesyou
    • one year ago
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    @dumbcow

  3. hoblos
    • one year ago
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    try calculating the length of the 3 sides if they are equal, it would be equilateral if not, you have to check if they apply Pythagoras theorem

  4. Gabylovesyou
    • one year ago
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    using the slope formula ?

  5. hoblos
    • one year ago
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    |dw:1396980676890:dw| Pythagoras theorem : c^2 = a^2 + b^2

  6. Gabylovesyou
    • one year ago
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    its an equilateral triangle

  7. hoblos
    • one year ago
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    all the sides are equal ?

  8. Gabylovesyou
    • one year ago
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    wait no i think its a right ;/ idk ..

  9. hoblos
    • one year ago
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    do you know how to calculate the distance between two points ?

  10. Gabylovesyou
    • one year ago
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    yes

  11. hoblos
    • one year ago
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    so calculate AB=? AC=? BC=?

  12. Gabylovesyou
    • one year ago
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    AB - 13 BC - 13 CA - 26

  13. Gabylovesyou
    • one year ago
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    so its a right ?

  14. hoblos
    • one year ago
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    they are actually AB = √13 BC = √13 CA = √26 right ?

  15. Gabylovesyou
    • one year ago
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    yea

  16. hoblos
    • one year ago
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    so let's see if it's right is CA^2 = AB^2 + BC^2 ?

  17. Gabylovesyou
    • one year ago
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    no

  18. phi
    • one year ago
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    I would plot it. If the choice is either equilateral or right triangle, you can tell by eyeball

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  19. Gabylovesyou
    • one year ago
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    jk yes haha

  20. hoblos
    • one year ago
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    CA^2 = ?

  21. Gabylovesyou
    • one year ago
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    26 and @phi looks like a right

  22. phi
    • one year ago
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    If you want to prove it, find the lengths if each side and show pythagoras works or find the slope of the two lines that form the right angle and see if the slopes are negative reciprocals

  23. Gabylovesyou
    • one year ago
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    which r the two lines that form the right angle?

  24. phi
    • one year ago
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    lines AB and BC

  25. Gabylovesyou
    • one year ago
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    the slopes dont match -1.5 and 0.66666667

  26. phi
    • one year ago
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    -3/2 and ⅔ it's easier to see if you multiply one by -1 and then flip it, you get the other *negative reciprocals*

  27. phi
    • one year ago
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    which means the lines are perpendicular (form a 90º angle) so you have proven its a right triangle.

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