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virtus 3 years ago Question attached below

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1. virtus

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2. virtus

prove that triangle OTM is similar to triangle TPM

3. mukushla

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4. dpaInc

since both are right triangles and <TOM is congruent to <TOP, those two triangles are similar by AAA

5. dpaInc

^^^ that is assuming PT is tangent to the circle....

6. virtus

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

7. mukushla

PT is a tangent to the circle so OT is perpendicular to PT and PTO=90 is that right?

8. rsadhvika

both are right triangles and one angle O is common

9. rsadhvika

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10. virtus

umm we are proving OTM is similar to triangle TPM

11. virtus

not OTM is similar to triangle OTP

12. rsadhvika

first step we are proving OTM ~ OPT next we gona prove OPT ~ TPM and conclude OTM ~ TPM

13. rsadhvika

did you understand why OTM ~ OPT ?

14. rsadhvika

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15. rsadhvika

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16. rsadhvika

its just a simple game with $$\alpha$$ , $$90-\alpha$$, and seeing which triangles have same set of angles

17. virtus

ohhh sorry @rsadhvika i understand thanks!

18. rsadhvika

okay no problem =))

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