maths question help (1 Viewer)

Grey Pigeon

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do you have the full question is looks like it has being cut off?
PT is a tangent to the circle PRQ, and QR is a secant intersecting the circle in Q and the line QR intersects PT at T. Prove that triangle PRT is similar to triangle QPT
 

cossine

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PT is a tangent to the circle PRQ, and QR is a secant intersecting the circle in Q and the line QR intersects PT at T. Prove that triangle PRT is similar to triangle QPT
I can't remember the precise theorem but there is one that you can use to state <PQT = <RPT. Using the fact a tangent to radius is 90 degrees we can state that <QPT = 90 degrees. From there it is quite easy to prove similarity.
 

Grey Pigeon

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I can't remember the precise theorem but there is one that you can use to state <PQT = <RPT. Using the fact a tangent to radius is 90 degrees we can state that <QPT = 90 degrees. From there it is quite easy to prove similarity.
would it be alternate segment theorem?
 

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