How do you write a Java method for how to find the orthocenter of a triangle?

Question

I need to know the steps on how to create an orthocenter method since whatever I try doesn't seem to work. I tried (a(x) * tan(a) and so on for the other three points but that doesn't work either. What should I do?

Answer 1

//**** Point.java *****************//

class Point

{

protected double x;

protected double y;

public Point( double X, double Y)

{

x = X; y=Y;

}

public double GetX() { return(x); }

public double GetY() { return(y); }

public Point( Point p)

{

x = p.GetX(); y=p.GetY();

}

}

//**** Line.java ********************//

class Line

{

protected double slopeM;

protected double interceptB;

Line ( double m, double b)

{

slopeM = m;

interceptB = b;

}

double GetSlope() { return(slopeM); }

double GetIntercept() { return(interceptB); }

Line ( Line l)

{

slopeM = l.GetSlope();

interceptB = l.GetIntercept();

}

}

//**** TraingleOrthocenter.java *****//

class TriangleOrthocenter

{

private Point A;

private Point B;

private Point C;

private Point orthocenter;

private Line heightLineAB; //passes through C and perpendicular to AB

private Line heightLineBC; //passes through A and perpendicular to BC

private Line heightLineAC; //passes through B and perpendicular to AC

TriangleOrthocenter( Point pointA, Point pointB, Point pointC)

{

A = new Point(pointA);

B = new Point(pointB);

C = new Point(pointC);

//calculates the slopes of each side

double Mab = (A.GetY()-B.GetY())/(A.GetX() - B.GetX());

double Mac = (A.GetY()-C.GetY())/(A.GetX()- C.GetX());

double Mbc = (B.GetY() - C.GetY())/(B.GetX() - C.GetX());

double heightSlopeMab = (-1/Mab);

double heightSlopeMac = (-1/Mac);

double heightSlopeMbc = (-1/Mbc);

//calculates the intercepts of each side as INTX = y - mx

double INTXab = C.GetY() - heightSlopeMab * C.GetX();

double INTXac = B.GetY() - heightSlopeMac * B.GetX();

double INTXbc = A.GetY() - heightSlopeMbc* A.GetX();

heightLineAB = new Line(heightSlopeMab,INTXab);

heightLineAC = new Line(heightSlopeMac,INTXac);

heightLineBC = new Line(heightSlopeMbc,INTXbc);

double x = (heightLineAB.GetIntercept() - heightLineAC.GetIntercept())/ (heightLineAC.GetSlope() - heightLineAB.GetSlope());

double y = heightLineAB.GetSlope()*x + heightLineAB.GetIntercept();

orthocenter = new Point(x,y);

}

public Point GetOrthocenter() { return new Point(orthocenter); }

}

//*** MAIN *****//

class OrthoMain

{

public static void main(String args[])

{

Point A = new Point(1,2);

Point B = new Point(2,6);

Point C = new Point(3,-4);

TriangleOrthocenter x = new TriangleOrthocenter(A,B,C);

Point pointOrthocenter = x.GetOrthocenter();

System.out.println("[" + pointOrthocenter.GetX() + "," + pointOrthocenter.GetY() +"]");

}

}