The prism shown is 35 .

work out h, the height of the triangular cross section.

i need with this

The height of the prism is h=2.5 cm.

Given information:

The volume of the prism is .

The base of the prism is a rectangle with sides 4 cm and 7 cm. 4 cm side is the base of the triangular face.

So, the volume of the prim can be written as,

The value of h can be calculated as,

Therefore, the height of the prism is h=2.5 cm.

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Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

where

B is the area of the triangular base

L is the length of the prism

we have

substitute

solve for B

Find the height of the triangle

The area of triangle is equal to

substitute the given values

answer

step-by-step explanation:

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.