anonymous
  • anonymous
A triangular prism has a volume of 480 cm cube. the cross section of the prism is an isosceles triangle with a base 6 cm. the depth of the prism is 20 cm. find the length of the longest side of the triangular cross section.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Please hellpp
Callisto
  • Callisto
Vol = area x height 480 = area x 20 area = 24cm^2 Area = (1/2) x base x height of the triangle 24 = (1/2) x 6 x height of the triangle height of the triangle = 8 cm So you'll see the triangle is like this |dw:1333178886437:dw| Can you use the Pyth Thm to find the longest length of the triangle?
Directrix
  • Directrix
So, 3^2 + 8^2 = h^2 9 + 64 = h^2 h = √73 --> longest side of triangular base. h = 8.54 approx

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