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.

Question

anonymous · Answer

Please hellpp

callisto · Answer

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?