Triangular prism

The base perpendicular triangular prism is a right triangle whose hypotenuse measures 5 cm and one cathetus 2 cm. Height of the prism is equal to 7/9 of the perimeter of the base. Calculate the surface area of prism.

Correct result:

S =  113.5 cm2

Solution:

b=5222=4.583 cm h=7/9(2+4.583+5)=9.009 cm S=2S1+S2+S3+S4 S=2ab2+ah+bh+ch S=ab+h(a+b+c) S=24.583+9.009(2+4.583+5) S=113.5 cm2



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