Park

In the newly built park will be permanently placed a rotating sprayer irrigation of lawns. Determine the largest radius of the circle which can irrigate by sprayer P so not to spray park visitors on line AB. Distance AB = 55 m, AP = 36 m and BP = 28 m.

Correct result:

r =  16.19 m

Solution:

a=55 b=36 c=28  s=(a+b+c)/2=59.5 r==?  T=ar2=s(sa)(sb)(sc) ar2=s(sa)(sb)(sc) r=2s(sa)(sb)(sc)a r=259.5(59.555)(59.536)(59.528)55 r=16.19 m

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