MathDB

space geometry, perpendicular squares

Source: RMO District 2005, 8th Grade, Problem 2

March 5, 2005

geometry3D geometrypyramid

Problem Statement

Let

ABCD

and

ABEF

be two squares situated in two perpendicular planes and let

O

be the intersection of the lines

AE

and

BF

. If

AB=4

compute: a) the distance from

B

to the line of intersection between the planes

(DOC)

and

(DAF)

; b) the distance between the lines

AC

and

BF