MathDB

area chasing, # related (2016 From Tasks to Tasks, p8 Ukr)

Source:

May 3, 2021

geometryareasareaparallelogram

Problem Statement

Let

ABCD

be a convex quadrilateral. It is known that

S_{ABD} = 7

S_{BCD}= 5

and

S_{ABC}= 3

. Inside the quadrilateral mark the point

X

so that

ABCX

is a parallelogram. Find

S_{ADX}

and

S_{BDX}