Without Euclid laws

Right triangle ABC with right angle at the C has a=5 and hypotenuse c=19. Calculate the height h of this triangle without the use of Euclidean laws.

Correct result:

h =  4.82

Solution:

b2=c2a2 b=19252=18.33  S1=S2 ab2=ch2 ab=ch  h=abc=518.3319=4.82



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