Identifying Cross Sections
Try it
What is the shape of the horizontal cross section of the
given prism?
J
TI
O rectangle
O square
G
H
O triangle
O pentagon
Ė
А
D
B
С
Intro
Done

answdf

step-by-step explanation: bcuz d is right

this answer is !

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4