Medians in right triangle

It is given a right triangle, and angle C is 90 degrees. I know it medians t1 = 8 cm and median t2 = 12 cm. How to calculate the length of the sides?

Correct answer:

a =  11.6847 cm
b =  5.465 cm
c =  12.8996 cm

Step-by-step explanation:

t1=8 cm t2=12 cm  t12=x2+(2y)2 t22=y2+(2x)2  x2=t124y2  y=154 t12t22=154 821222.7325 cm x=t124 y2=824 2.732525.8424 cm  a=2 x=2 5.8424=11.6847 cm
b=2 y=2 2.7325=5.465 cm
a2+b2=c2  c=a2+b2=11.68472+5.4652=12.8996 cm

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