system on inequations of a problem in mathematic

Hello, everybody

I hope that you are in a good state, i want to propose a problem that i have to know.

I'll introduce a problem that i have, it's given a cartesian coordinate (x,y) a space contains a lot of points (A,B,C,D)

So We have a points in the space of study as the image mention that :

my goal is to detect what i colored (mathematic, and informatic by matlab) or how to determinate the colored zone

Answer 1

[Torsten]

The coloured region is defined by three inequalities:

y >= (x-x_A)/(x_B-x_A)*y_B+(x-x_B)/(x_A-x_B)*y_A
y >= (x-x_A)/(x_D-x_A)*y_D+(x-x_D)/(x_A-x_D)*y_A
y <= (x-x_B)/(x_C-x_B)*y_C+(x-x_C)/(x_B-x_C)*y_B

Is it this what you mean ?

[abd elkarim]

Thank you very much

that's what i need