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Gabylovesyou

  • 8 months 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
    • 8 months ago
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    what formula should be used to find this ?

  2. Gabylovesyou
    • 8 months ago
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    @dumbcow

  3. hoblos
    • 8 months 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
    • 8 months ago
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    using the slope formula ?

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

  6. Gabylovesyou
    • 8 months ago
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    its an equilateral triangle

  7. hoblos
    • 8 months ago
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    all the sides are equal ?

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

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

  10. Gabylovesyou
    • 8 months ago
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    yes

  11. hoblos
    • 8 months ago
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    so calculate AB=? AC=? BC=?

  12. Gabylovesyou
    • 8 months ago
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    AB - 13 BC - 13 CA - 26

  13. Gabylovesyou
    • 8 months ago
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    so its a right ?

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

  15. Gabylovesyou
    • 8 months ago
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    yea

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

  17. Gabylovesyou
    • 8 months ago
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    no

  18. phi
    • 8 months 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
    • 8 months ago
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    jk yes haha

  20. hoblos
    • 8 months ago
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    CA^2 = ?

  21. Gabylovesyou
    • 8 months ago
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    26 and @phi looks like a right

  22. phi
    • 8 months 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
    • 8 months ago
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    which r the two lines that form the right angle?

  24. phi
    • 8 months ago
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    lines AB and BC

  25. Gabylovesyou
    • 8 months ago
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    the slopes dont match -1.5 and 0.66666667

  26. phi
    • 8 months 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
    • 8 months 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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