You have to be sure about your answer before you post! a slice is made parallel to the base of a right rectangular pyramid, as shown.

what is the area of the resulting two-dimensional cross-section?

enter your answer in the box.

Step-by-step explanation:

we know that

The area of the resulting two-dimensional cross-section is the area of a rectangle

The area of a rectangle is equal to

we have

substitute

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

7.3

step-by-step explanation: