FLVSKidd
  • FLVSKidd
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.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
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
FLVSKidd
  • FLVSKidd
So I have to figure out if all possibilities of those points when subtracted equal to -1?
anonymous
  • anonymous
slope of RS \[m _{1}=\frac{ 5-4 }{ 5-3 }=\frac{ 1 }{ 2 }\]

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anonymous
  • anonymous
slope of RT \[m _{2}=\frac{ 1-4 }{ 6-3 }=\frac{ -3 }{ 3 }=-1\]
anonymous
  • anonymous
slope of ST \[m _{3}=\frac{ 1-5 }{ 6-5 }=\frac{ -4 }{ 1 }=-4\]
FLVSKidd
  • FLVSKidd
Now I see what you mean. This was very helpful.
FLVSKidd
  • FLVSKidd
So I would say that RS and ST need to equal -1 for it to be a right triangle?
FLVSKidd
  • FLVSKidd
Am I right? I will give you best answer.
anonymous
  • anonymous
product of any two should be -1 which is not the case so change co-ordinates of one point to make the product -1
FLVSKidd
  • FLVSKidd
Product of any two? Okay you saved me there. Thank you very much.
FLVSKidd
  • FLVSKidd
Can you help me with another one?
FLVSKidd
  • FLVSKidd
1 Attachment
anonymous
  • anonymous
|dw:1434074334651:dw| adjust the coordinates
anonymous
  • anonymous
2. find the slopes of CB and FE
FLVSKidd
  • FLVSKidd
For line FE I got -4/-5 and for line CB I got -3/-4
FLVSKidd
  • FLVSKidd
How do I know if they are opposite and reciprocal?
anonymous
  • anonymous
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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