Triangular prism

Calculate the surface of a triangular prism 10 cm high, the base of which is a triangle with sides 6 cm 8 cm and 8 cm

Correct result:

S =  264.4972 cm2

Solution:

h=10 cm a=6 cm b=8 cm c=8 cm o=a+b+c=6+8+8=22 cm s=o/2=22/2=11 cm S1=s⋅ (s−a)⋅ (s−b)⋅ (s−c)=11⋅ (11−6)⋅ (11−8)⋅ (11−8)=3 55 cm2≐22.2486 cm2 S=2⋅ S1+o⋅ h=2⋅ 22.2486+22⋅ 10=264.4972 cm2

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