MathDB

Equilateral

\triangle ABC

has side length

600

. Points

P

and

Q

lie outside of the plane of

\triangle ABC

and are on the opposite sides of the plane. Furthermore,

PA=PB=PC

, and

QA=QB=QC

, and the planes of

\triangle PAB

and

\triangle QAB

form a

120^{\circ}

dihedral angle (The angle between the two planes). There is a point

O

whose distance from each of

A,B,C,P

and

Q

d

. Find

d

Problem Statement