Euclid3

Calculate height and sides of the right triangle, if one leg is a = 81 cm and section of hypotenuse adjacent to the second leg cb = 39 cm.

Correct result:

a =  81 cm
b =  63.3 cm
c =  102.8 cm
h =  49.9 cm

Solution:

a=81 cm
b=((39+39⋅ 39+4⋅ 81⋅ 81)/2)2−812=63.3 cm
a2=(c−39)c c2−39c−6561=0 c=39+39⋅39+4⋅81⋅812=102.8 cm  b=c2−a2=63.32  cm
h=cb⋅(c−cb)=49.9 cm

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