Sss triangle

Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm

Correct result:

S =  42.7895 cm2
h1 =  10.6974 cm
h2 =  7.7799 cm
h3 =  7.1316 cm

Solution:

a=8 cm b=11 cm c=12 cm  s=(a+b+c)/2=(8+11+12)/2=312=15.5 cm S=s (sa) (sb) (sc)=15.5 (15.58) (15.511) (15.512)=42.7895 cm2
S=a h12 h1=2 S/a=2 42.7895/8=10.6974 cm
h2=2 S/b=2 42.7895/11=7.7799 cm
h3=2 S/c=2 42.7895/12=7.1316 cm

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