Semicircle

To a semicircle with diameter 10 cm inscribe square. What is the length of square sides?

Correct result:

s =  4.4721 cm

Solution:

r2=s2+(s/2)2 r2=s2+s/4 r2=5/4s2 (D/2)2=5/4s2  s=D/5 s=10/5=4.4721 cm

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