Triangular prism

The base perpendicular triangular prism is a right triangle whose hypotenuse measures 14 cm and one cathetus 9 cm. The height of the prism is equal to 2/9 of the base's perimeter. Calculate the surface area of the prism.

Correct answer:

S =  349.2 cm2

Step-by-step explanation:

a=9 cm c=14 cm r=2/9=920.2222  c2=a2+b2 b=c2a2=14292=115 cm10.7238 cm o=a+b+c=9+10.7238+1433.7238 cm h=r o=0.2222 33.72387.4942 cm  S1=2a b=29 10.723848.2571 cm2 S2=o h=33.7238 7.4942252.7322 cm2  S=2 S1+S2=2 48.2571+252.7322=349.2 cm2

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