Question

What is the area of the two-dimensional cross section that is parallel to face ABC ?

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Answer 1

The two triangle faces are congruent, so the missing side length on the top triangle is 24ft.
Area of a triangle = bh/2
7*24/2=84ft
Area = 84ft

Answer 2

The area of the two-dimensional cross section that is parallel to face ABC. that is Area of Δ DEF = 84 ft²

Step-by-step explanation:

Given : A triangular prism with some side measurement.

We have to find the area of the two-dimensional cross section that is parallel to face ABC.

Since, the cross section that is parallel to face ABC.

Since, face parallel to ABC is DEF .

And DEF is a triangle with ∠ E = 90°

So, Area of right angled triangle
`=(1)/(2) * base * height`

Base = 24 ft

and height is 7 ft

So, Area of Δ DEF =
`(1)/(2) * 24 * 7`

Simplify , we have,

Area of Δ DEF = 84 ft²

Thus, The area of the two-dimensional cross section that is parallel to face ABC. that is Area of Δ DEF = 84 ft²