mondrecuskendri mondrecuskendri
  • 21-05-2018
  • Mathematics
contestada

In the circle above, RV and SW are chords which intersect at point T. If ST = 4 ft, TV = 8 ft, and TW = 12 ft, what is the length of RT?

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sqdancefan
sqdancefan sqdancefan
  • 25-05-2019

Answer:

  6 ft

Step-by-step explanation:

The product of lengths from the point of intersection of the chords to the circle is a constant. For these chords, that constant is ...

  ST·TW = (4 ft)(12 ft) = 48 ft²

Then RT can be found from ...

  RT·TV = 48 ft²

  RT = (48 ft²)/TV = (48 ft²)/(8 ft)

  RT = 6 ft

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