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DochEvi [55]
3 years ago
13

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

Mathematics
2 answers:
Afina-wow [57]3 years ago
8 0
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
QveST [7]3 years ago
3 0

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 =\frac{1}{2} \times base \times height

Base = 24 ft

and height is 7 ft

So, Area of Δ DEF = \frac{1}{2} \times 24 \times 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

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