The length 17

The length of one of two chords of a circle is 12cm. If the chords are 6cm and 7cm, respectively, away from the center of the circle, calculate the length of the second chord.

Correct answer:

b =  9.5917 cm

Step-by-step explanation:

a=12 cm x1=6 cm x2=7 cm  r2 = (a/2)2 + x12 r2 = (b/2)2 + x22  (a/2)2 + x12 = (b/2)2 + x22 b=2 (a/2)2+x12x22=2 (12/2)2+6272=2 239.5917 cm   Verifying Solution:  r=(a/2)2+x12=(12/2)2+62=6 2 cm8.4853 cm r2=(b/2)2+x22=(9.5917/2)2+72=6 2 cm8.4853 cm r=r2

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