Without Euclid laws

Right triangle ABC with a right angle at the C has a=14 and hypotenuse c=26. Calculate the height h of this triangle without the use of Euclidean laws.

Correct answer:

h =  11.8

Step-by-step explanation:

a=14 c=26  c2= a2+b2  b=c2a2=262142=4 3021.9089  S1 = S2  {ab}{2} =  {c h }{2} a b = c h  h=ca b=2614 21.9089=11.8

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