Medians

Calculate the sides of a right triangle if the length of the medians to the legs are ta = 21 cm and tb=12 cm.

Correct result:

a =  6 cm
b =  20.78 cm
c =  21.63 cm

Solution:

 ta2=x2+(2y)2 tb2=y2+(2x)2  x2=ta24y2  y=4ta2tb215=10.39 x=ta24y2=3 a=2x=6 cm
b=2y=20.78 cm
c=a2+b2=21.63 cm

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