aliciagamez1015 aliciagamez1015
  • 23-02-2021
  • Mathematics
contestada

The segments in each figure are tangent to the circle at the points shown.
Find each length.

The segments in each figure are tangent to the circle at the points shown Find each length class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 23-02-2021

9514 1404 393

Answer:

  RS = RT = 2

Step-by-step explanation:

The two tangents from a point are the same length.

  RS = RT

  y = y^2/2

  y^2/2 -y = 0

  y(y/2 -1) = 0 . . . . factor out y

Values of y that make these factors zero are ...

  y = 0 . . . . . . . . true if points R, S, T are coincident on the circle

  y/2 -1 = 0   ⇒   y = 2

Then the segment lengths are ...

  RS = RT = 2

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