ABCD square

In the ABCD square, the X point lies on the diagonal AC. The length of the XC is three times the length of the AX segment. Point S is the center of the AB side. The length of the AB side is 1 cm. What is the length of the XS segment?

Correct answer:

x =  0.3536 cm

Step-by-step explanation:

a=1 cm u=2 a=2 1=2 cm1.4142 cm  u1=3/4 u=3/4 1.41421.0607 cm u2=1/4 u=1/4 1.41420.3536 cm  u3=3/4 a=3/4 1=43=0.75 cm u4=1/4 a=1/4 1=41=0.25 cm  s=a/2=1/2=21=0.5 cm  s2=su4=0.50.25=41=0.25 cm  x=s22+u42=0.252+0.252=0.3536 cm

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