Find the length of chord AD

Mathematics

1 answer:

Ket [755]2 years ago

7 0

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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