The right triangle

The right triangle ABC has a leg a = 36 cm and an area S = 540 cm2. Calculate the length of the leg b and the median t2 to side b.

Correct result:

b =  30 cm
t2 =  39 cm

Solution:

a=36 cm S=540 cm2  S=ab2  b=2⋅ S/a=2⋅ 540/36=30 cm
t22=a2+(b/2)2 t2=a2+(b/2)2=362+(30/2)2=39 cm

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