Do in Java language (Inside The Triangle) Suppose a right triangle is placed in a plane as shown in the book. The right-angle point is placed at (0, 0), and the other two points (x,y) are placed at (200, 0), and (0, 100). Write a program that prompts the user to enter a point with x- and y-coordinates and determines whether the point is inside the triangle.

Here is the equation for finding the area of a triangle.

abs((x1*(y2-y3) + x2*(y3-y1)+ x3*(y1-y2))/ 2.0 );

Here is some pseudocode that may help.

check whether the point P(10, 15)

lies inside the triangle formed by

A(0, 0), B(20, 0) and C(10, 30)

Calculate area of triangle ABC

Calculate area of triangle PBC

Calculate area of triangle PAC

Calculate area of triangle PAB

Check if sum of PBC, PAC and PAB is same as ABC

SAMPLE RUN #1: java InsideTheTriangle

Enter a point's x and y coordinates: 200 0 The point is in the triangle

SAMPLE RUN #2: java InsideTheTriangle

Enter a point's x and y coordinates: 900 0 The point is NOT in the triangle