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FLVSKidd

  • one year ago

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. anonymous
    • one year ago
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    find slope by formula \[m=\frac{ y _{2}-y _{1} }{x _{2}-x _{1}}\] taking two points at a time and see if m1*m2=-1

  2. FLVSKidd
    • one year ago
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    So I have to figure out if all possibilities of those points when subtracted equal to -1?

  3. anonymous
    • one year ago
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    slope of RS \[m _{1}=\frac{ 5-4 }{ 5-3 }=\frac{ 1 }{ 2 }\]

  4. anonymous
    • one year ago
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    slope of RT \[m _{2}=\frac{ 1-4 }{ 6-3 }=\frac{ -3 }{ 3 }=-1\]

  5. anonymous
    • one year ago
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    slope of ST \[m _{3}=\frac{ 1-5 }{ 6-5 }=\frac{ -4 }{ 1 }=-4\]

  6. FLVSKidd
    • one year ago
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    Now I see what you mean. This was very helpful.

  7. FLVSKidd
    • one year ago
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    So I would say that RS and ST need to equal -1 for it to be a right triangle?

  8. FLVSKidd
    • one year ago
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    Am I right? I will give you best answer.

  9. anonymous
    • one year ago
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    product of any two should be -1 which is not the case so change co-ordinates of one point to make the product -1

  10. FLVSKidd
    • one year ago
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    Product of any two? Okay you saved me there. Thank you very much.

  11. FLVSKidd
    • one year ago
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    Can you help me with another one?

  12. FLVSKidd
    • one year ago
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  13. anonymous
    • one year ago
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    |dw:1434074334651:dw| adjust the coordinates

  14. anonymous
    • one year ago
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    2. find the slopes of CB and FE

  15. FLVSKidd
    • one year ago
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    For line FE I got -4/-5 and for line CB I got -3/-4

  16. FLVSKidd
    • one year ago
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    How do I know if they are opposite and reciprocal?

  17. anonymous
    • one year ago
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    slope of FE \[=\frac{ -4-(-1) }{ 5-1 }=\frac{ -3 }{ 4 }\] slope of CB \[=\frac{ 5-1 }{ 4-1 }=\frac{ 4 }{ 3 }\]

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