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Gabylovesyou

  • 2 years 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
    • 2 years ago
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    what formula should be used to find this ?

  2. Gabylovesyou
    • 2 years ago
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    @dumbcow

  3. hoblos
    • 2 years 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
    • 2 years ago
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    using the slope formula ?

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

  6. Gabylovesyou
    • 2 years ago
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    its an equilateral triangle

  7. hoblos
    • 2 years ago
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    all the sides are equal ?

  8. Gabylovesyou
    • 2 years ago
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    wait no i think its a right ;/ idk ..

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

  10. Gabylovesyou
    • 2 years ago
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    yes

  11. hoblos
    • 2 years ago
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    so calculate AB=? AC=? BC=?

  12. Gabylovesyou
    • 2 years ago
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    AB - 13 BC - 13 CA - 26

  13. Gabylovesyou
    • 2 years ago
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    so its a right ?

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

  15. Gabylovesyou
    • 2 years ago
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    yea

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

  17. Gabylovesyou
    • 2 years ago
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    no

  18. phi
    • 2 years 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
    • 2 years ago
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    jk yes haha

  20. hoblos
    • 2 years ago
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    CA^2 = ?

  21. Gabylovesyou
    • 2 years ago
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    26 and @phi looks like a right

  22. phi
    • 2 years 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
    • 2 years ago
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    which r the two lines that form the right angle?

  24. phi
    • 2 years ago
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    lines AB and BC

  25. Gabylovesyou
    • 2 years ago
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    the slopes dont match -1.5 and 0.66666667

  26. phi
    • 2 years 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
    • 2 years 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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