Answer:
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 [tex]=\frac{1}{2} \times base \times height[/tex]
Base = 24 ft
and height is 7 ft
So, Area of Δ DEF = [tex]\frac{1}{2} \times 24 \times 7[/tex]
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
