anonymous
  • anonymous
Question attached below
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
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anonymous
  • anonymous
prove that triangle OTM is similar to triangle TPM
anonymous
  • anonymous
|dw:1345271392740:dw|

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anonymous
  • anonymous
since both are right triangles and
anonymous
  • anonymous
^^^ that is assuming PT is tangent to the circle....
anonymous
  • anonymous
Yes PT is a tangent to the circle, but can you elaborate on why it is similar by AAA. i don't get it thanks
anonymous
  • anonymous
PT is a tangent to the circle so OT is perpendicular to PT and PTO=90 is that right?
rsadhvika
  • rsadhvika
both are right triangles and one angle O is common
rsadhvika
  • rsadhvika
|dw:1345271947198:dw|
anonymous
  • anonymous
umm we are proving OTM is similar to triangle TPM
anonymous
  • anonymous
not OTM is similar to triangle OTP
rsadhvika
  • rsadhvika
first step we are proving OTM ~ OPT next we gona prove OPT ~ TPM and conclude OTM ~ TPM
rsadhvika
  • rsadhvika
did you understand why OTM ~ OPT ?
rsadhvika
  • rsadhvika
|dw:1345272356748:dw|
rsadhvika
  • rsadhvika
|dw:1345272694033:dw|
rsadhvika
  • rsadhvika
its just a simple game with \(\alpha\) , \(90-\alpha\), and seeing which triangles have same set of angles
anonymous
  • anonymous
ohhh sorry @rsadhvika i understand thanks!
rsadhvika
  • rsadhvika
okay no problem =))

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