Leg and height

Solve right triangle with height v = 9.6 m and shorter cathetus b = 17.3 m.

Correct result:

a =  11.54 m
b =  17.3 m
c =  20.8 m

Solution:

cb2=b2v2 cb=17.329.62=14.39  v2=cacb ca=v2/cb=9.6/14.39=6.4 m  c=ca+cb=20.8 m  a2+b2=c2 a=c2b2=20.8 m217.32=11.54 m b=17.3 m c=20.8 m 

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