Calculate 16223

The following elements are known in the right triangle ABC: a = 10 cm, height to side c h = 9.23 cm. Calculate o, R (radius of the inscribed circle), r (radius of the inscribed circle).

Correct answer:

o =  59.974 cm
r =  3.9995 cm
R =  12.9938 cm

Step-by-step explanation:

a=10 cm v=9.23 cm  c1=a2v2=1029.2323.848 cm  v2=c1c2 c2=v2/c1=9.232/3.84822.1395 cm  c=c1+c2=3.848+22.139525.9875 cm  b=c2a2=25.9875210223.9865 cm  o=a+b+c=10+23.9865+25.9875=59.974 cm
s=2o=259.97429.987 cm S=2a b=210 23.9865119.9324 cm2  r=sS=29.987119.9324=3.9995 cm
R=2c=225.9875=12.9938 cm

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