soccerkiss22 soccerkiss22
  • 23-04-2021
  • Mathematics
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Find the length of chord AD

Find the length of chord AD class=

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sqdancefan
sqdancefan sqdancefan
  • 26-04-2021

9514 1404 393

Answer:

  AD = 15

Step-by-step explanation:

The products of the segment lengths are the same.

  (x -2)(x +7) = 4(2x -1)

  x^2 +5x -14 = 8x -4

  x^2 -3x -10 = 0

  (x -5)(x +2) = 0

The positive solution is x=5.

Chord AD is ...

  (x -2) +(x +7) = 2x +5 = 2(5) +5 = 15

Chord AD is 15 units long.

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