What is occuring for my if statement not to register?

I am writing a program that allows the user to input the sides of a triangle and recieve information about their triangle such as height, angle measurment, type of triangle, and area. For some reason my program wont register the if statments. I have tried switching conditions and other various measures yet nothing works. If somebody could take a look I would appreciate it.

    import java.lang.*;

    public class Mathey
    {
    public double squareRoot(double n)
   {
   return Math.sqrt(n);
   }
   public double square(double n)
   {
    return Math.pow(n,2);
   }
   public double sin(double n)
   {
    return Math.sin(n);
   }
public double arcCos(double n)
{
    return Math.acos(n);
}
public double round(double n)
{
    return Math.round(n);
}
public double degrees (double n)
{
    return Math.toDegrees(n);
}
public double radians (double n)
{
    return Math.toRadians(n);
}

} Here is the triangle class

    import java.util.*;
    public class TriangleCrazy
    {
    private int a,b,c;
    private double h,alpha2,beta2,gamma2;
    private int type;

    Mathey mathStuff = new Mathey ();
    Scanner reader = new Scanner (System.in);

    public TriangleCrazy(int a2, int b2, int c2)
    {
    a = a2;
    b = b2;
    c = c2;
}

public void triTest()
{
 int flag =1;

    while (flag==1)
    {

    if (a+b>c && b+c>a && a+c>b)
    {
        System.out.println("You have enetered a proper triangle");
        flag =0;
    }
   else if (a+b<=c || b+c<=a || a +c<=b)
    {
        System.out.println("Sorry you did not enter a proper triangle please try again");
        System.out.print("Please enter the sides of your triangle (A B C) " );
        int a = reader.nextInt();
         int b = reader.nextInt();
        int c = reader.nextInt();
       this.a = a;
       this.b = b;
       this.c = c;

    }
}
  }

    public void triType()
{
    double test = mathStuff.square(a) + mathStuff.square(c);
    double cTest = mathStuff.square(c);
    int type;
     if(test==cTest)
    {

        type =1;
    }
 else  if( test>cTest)
    {

        type =2;
    }

      else if( test<cTest)
    {

        type=3;
    }


}
public int getType()
{
    return type;
}

    public void angleFinder()
    {


        double a2 = mathStuff.square(a);
        double b2 = mathStuff.square(b);
        double c2 = mathStuff.square(c);
        double pi = 3.14159265359;
        double total = 180;

        double cosA = ((a2+c2-b2)/(2*a*c)); 
       ;
       double cosB = ((a2+b2-c2)/(2*a*b));
       double cosC =((b2 + c2)-a2)/((2*b)*c);


        double arcCosA = mathStuff.arcCos(cosA);
        double arcCosB = mathStuff.arcCos(cosB);
        double arcCosC = mathStuff.arcCos(cosC);

        double alpha = mathStuff.degrees(arcCosA);
        double beta = mathStuff.degrees(arcCosB);
        double gamma = mathStuff.degrees(arcCosC);

        double alpha2 = mathStuff.round(alpha);
        double beta2 = mathStuff.round(beta);
        double gamma2 = mathStuff.round(gamma);

        this.alpha2=alpha2;
        this.beta2=beta2;
        this.gamma2=gamma2;

        System.out.println("The measurement of the angles for your triangle is " + alpha2 + " " + beta2 + " " + gamma2);
    }

    public void heronForm()
    {
        double sideTotal = .5*(a + b + c);
        double next = ((sideTotal) * (sideTotal-a) * (sideTotal-b) / (sideTotal-c));
        double area = mathStuff.squareRoot(next);

        System.out.println("The program will now calculate the area using Heron's Formula: ");

        System.out.println("s=(.5 * " + a + "+" + b + "+" + c + ")"); 
        System.out.println("The square root of s(s-" + a + ")(s-"+b+")(s-"+c +") = area");
        System.out.println("The area is " + area);
        System.out.println();
    }
    public void height()
    {
        double h = c * mathStuff.sin(alpha2);
        h=mathStuff.round(h);
       this.h=h;
    }
  public double getHeight()
  {
    return h;
}



}

Here is my driver

  import java.util.*;
  public class Driver
  {
  public static void main(String[] args)
{
    Scanner reader = new Scanner (System.in);

    System.out.print("Please enter the sides of your triangle from smallest to largest (A B C): ");

    int a = reader.nextInt();
    int b = reader.nextInt();
    int c = reader.nextInt();

    System.out.println();

    TriangleCrazy tri = new TriangleCrazy(a,b,c);

    tri.triTest();

    System.out.println();

    tri.triType();

   int type = tri.getType();

    if (type==1)
   {
       System.out.println("The triangle is an Right Triangle");

    }
  else  if (type==2)
    {
       System.out.println("The triangle is an Acute Triangle");
    }
   else if (type==3)
    {
       System.out.println("The triangle is an Obtuse Triangle");
    }


   System.out.println();

   tri.angleFinder();

   System.out.println();

   tri.heronForm();

   System.out.println();

   tri.height();
   if (type==1)
   {
       System.out.println("The height of your triangle is " + a);
   }
   else if (type==2)
   {
   double h = tri.getHeight();
   System.out.println("The height of your triangle is " + h);
   }
   else if (type==3)
   {
       double h = tri.getHeight();
       System.out.println("The height of your triangle is " + h);

    }
}
   }

Sample output so you know what I am talking about. Please enter the sides of your triangle from smallest to largest (A B C): 3 4 5

You have enetered a proper triangle

The measurement of the angles for your triangle is 53.0 90.0 37.0

The program will now calculate the area using Heron's Formula: s=(.5 * 3+4+5) The square root of s(s-3)(s-4)(s-5) = area The area is 6.0

As you can see it ignores the if statments I created in order to find the type of triangle. I have no idea why this is. I had to create them in order to know if the height was to be found using the formula or was one of the sides in a right triangle. The height in a right triangle is as you know the smallest side.

If anybody could take a look and help me fine the bug I would appreciate it greatly.