• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

maths question help (1 Viewer)

Grey Pigeon

Active Member
Joined
Sep 1, 2021
Messages
124
Gender
Male
HSC
2025
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

Well-Known Member
Joined
Jul 24, 2020
Messages
626
Gender
Male
HSC
2017
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

Active Member
Joined
Sep 1, 2021
Messages
124
Gender
Male
HSC
2025
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?
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top