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anonymous

  • one year ago

help please Determine if triangle RST with coordinates R (3, 4), S (5, 5), and T (6, 1) is a right triangle. Use evidence to support your claim. If it is not a right triangle, what changes can be made to make it a right triangle? Be specific.

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  1. ganeshie8
    • one year ago
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    Given two points, do you know how to find the slope of line segment joining them?

  2. anonymous
    • one year ago
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    y1-y2/x1-x2 ?

  3. ganeshie8
    • one year ago
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    Yes |dw:1440914513651:dw|

  4. ganeshie8
    • one year ago
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    start by finding the slope of the sides : RS, ST and TR

  5. ganeshie8
    • one year ago
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    R (3, 4), S (5, 5) slope of line segment RS = ?

  6. anonymous
    • one year ago
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    R and S 4-5/3-5 = 1/2

  7. anonymous
    • one year ago
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    Slope of S and T 5-1/5-6 = -4/1 or 4

  8. anonymous
    • one year ago
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    Slope of T and R 4-1/3-6 = 3/-3 or -1

  9. ganeshie8
    • one year ago
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    |dw:1440914894502:dw|

  10. ganeshie8
    • one year ago
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    what do you know about the relation between "perpendicular sides" and "slope" ?

  11. anonymous
    • one year ago
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    Thats what i dont know:/

  12. ganeshie8
    • one year ago
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    For a right triangle we know that two sides are perpendicular. Here is the relation which we can use : If two sides are perpendicular, then their slopes multiply to \(-1\).

  13. ganeshie8
    • one year ago
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    multiply all the pairs of slopes does any pair produces -1 ?

  14. ganeshie8
    • one year ago
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    |dw:1440915252458:dw|

  15. ganeshie8
    • one year ago
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    similarly check the other two pairs of sides too

  16. anonymous
    • one year ago
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    R and S (1/2)*(1/2) = 0.25 T and R -1*1/2= -0.25

  17. ganeshie8
    • one year ago
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    careful, we're multiplying the slope of "sides" not slope of "points" points dont have slope

  18. ganeshie8
    • one year ago
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    |dw:1440915698682:dw|