Chors centers

The circle with a diameter 17 cm, upper chord /CD/ = 10.2 cm and bottom chord /EF/ = 7.5 cm. The midpoints of the chords H, G is that /EH/ = 1/2 /EF/ and /CG/ = 1/2 /CD/. Determine the distance between the G and H, if CD II EF (parallel).

Correct result:

x =  14.4281 cm

Solution:

$x=\sqrt{(17\mathrm{/}2{)}^2-(10.2\mathrm{/}2{)}^2}+\sqrt{(17\mathrm{/}2{)}^2-(7.5\mathrm{/}2{)}^2}=14.4281\text{ cm}$

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