MathDB

Let

ABC

be a triangle. Construct points

B'

and

C'

such that

ACB'

and

ABC'

are equilateral triangles that have no overlap with

\vartriangle ABC

. Let

BB'

and

CC'

intersect at X. If

AX = 3

BC = 4

, and

CX = 5

, find the area of quadrilateral

BCB'C'

. .

Problem Statement