g0606997 g0606997
  • 29-01-2019
  • Mathematics
contestada

What is the value of y ?

What is the value of y class=

Respuesta :

1969976289
1969976289 1969976289
  • 29-01-2019

Answer:

6

Step-by-step explanation:

Draw line segments ST and RQ. Triangle RUQ and SUT are similar, because they are in a circle. Now, you use similar triangles to get that QU/UT=RU/SU so 2 = 12/SU so SU = 6, or y = 6.


Note: This is generealized by the Power of a Point, which states that if you have two chords that intersect, then you can do the same thing and it will show that QU*SU=RU*TU. (You can change the variables but the similar triangles stay the same).

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