Two chords

In a circle with a radius of 8.5 cm, two parallel chords are constructed, the lengths of which are 9 cm and 12 cm. Find the distance of the chords in a circle.

Correct answer:

x =  13.2319 cm
y =  1.1903 cm

Step-by-step explanation:

r=8.5 cm a=9 cm b=12 cm  r2 = x12 + (a/2)2 x1=r2(a/2)2=8.52(9/2)2=2 13 cm7.2111 cm  r2 = x22 + (b/2)2 x2=r2(b/2)2=8.52(12/2)26.0208 cm  x=x1+x2=7.2111+6.0208=13.2319 cm
y=x1x2=7.21116.0208=1.1903 cm

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