Math.Sqrt Method

Returns the square root of a specified number.

[Visual Basic]
Public Shared Function Sqrt( _
   ByVal d As Double _
) As Double
[C#]
public static double Sqrt(
 double d
);
[C++]
public: static double Sqrt(
 double d
);
[JScript]
public static function Sqrt(
   d : double
) : double;

Parameters

d

A number.

Return Value

If d is equal to NaN or PositiveInfinity, that value is returned.

Example

[Visual Basic, C#, C++] The following code sample uses Sqrt to assist in the computation of the inner angles of a given trapezoid.

[Visual Basic] 
'The following class represents simple functionallity of the Trapezoid
Class MathTrapezoidSample

    Private m_longBase As Double
    Private m_shortBase As Double
    Private m_leftLeg As Double
    Private m_rightLeg As Double

    Public Sub New(ByVal longbase As Double, ByVal shortbase As Double, ByVal leftLeg As Double, ByVal rightLeg As Double)
        m_longBase = Math.Abs(longbase)
        m_shortBase = Math.Abs(shortbase)
        m_leftLeg = Math.Abs(leftLeg)
        m_rightLeg = Math.Abs(rightLeg)
    End Sub

    Private Function GetRightSmallBase() As Double
        GetRightSmallBase = (Math.Pow(m_rightLeg, 2) - Math.Pow(m_leftLeg, 2) + Math.Pow(m_longBase, 2) + Math.Pow(m_shortBase, 2) - 2 * m_shortBase * m_longBase) / (2 * (m_longBase - m_shortBase))
    End Function

    Public Function GetHeight() As Double
        Dim x As Double = GetRightSmallBase()
        GetHeight = Math.Sqrt(Math.Pow(m_rightLeg, 2) - Math.Pow(x, 2))
    End Function

    Public Function GetSquare() As Double
        GetSquare = GetHeight() * m_longBase / 2
    End Function

    Public Function GetLeftBaseRadianAngle() As Double
        Dim sinX As Double = GetHeight() / m_leftLeg
        GetLeftBaseRadianAngle = Math.Round(Math.Asin(sinX), 2)
    End Function

    Public Function GetRightBaseRadianAngle() As Double
        Dim x As Double = GetRightSmallBase()
        Dim cosX As Double = (Math.Pow(m_rightLeg, 2) + Math.Pow(x, 2) - Math.Pow(GetHeight(), 2)) / (2 * x * m_rightLeg)
        GetRightBaseRadianAngle = Math.Round(Math.Acos(cosX), 2)
    End Function

    Public Function GetLeftBaseDegreeAngle() As Double
        Dim x As Double = GetLeftBaseRadianAngle() * 180 / Math.PI
        GetLeftBaseDegreeAngle = Math.Round(x, 2)
    End Function

    Public Function GetRightBaseDegreeAngle() As Double
        Dim x As Double = GetRightBaseRadianAngle() * 180 / Math.PI
        GetRightBaseDegreeAngle = Math.Round(x, 2)
    End Function

    Public Shared Sub Main()
        Dim trpz As MathTrapezoidSample = New MathTrapezoidSample(20, 10, 8, 6)
        Console.WriteLine("The trpezoid's bases are 20.0 and 10.0, the trapezoid's legs are 8.0 and 6.0")
        Dim h As Double = trpz.GetHeight()
        Console.WriteLine("Trapezoid height is: " + h.ToString())
        Dim dxR As Double = trpz.GetLeftBaseRadianAngle()
        Console.WriteLine("Trapezoid left base angle is: " + dxR.ToString() + " Radians")
        Dim dyR As Double = trpz.GetRightBaseRadianAngle()
        Console.WriteLine("Trapezoid right base angle is: " + dyR.ToString() + " Radians")
        Dim dxD As Double = trpz.GetLeftBaseDegreeAngle()
        Console.WriteLine("Trapezoid left base angle is: " + dxD.ToString() + " Degrees")
        Dim dyD As Double = trpz.GetRightBaseDegreeAngle()
        Console.WriteLine("Trapezoid left base angle is: " + dyD.ToString() + " Degrees")
    End Sub

End Class


[C#] 
/// <summary>
/// The following class represents simple functionallity of the Trapezoid
/// </summary>
class MathTrapezoidSample
{
    private double m_longBase;
    private double m_shortBase;
    private double m_leftLeg;
    private double m_rightLeg;

    public MathTrapezoidSample(double longbase, double shortbase, double leftLeg, double rightLeg)
    {
        m_longBase = Math.Abs(longbase);
        m_shortBase = Math.Abs(shortbase);
        m_leftLeg = Math.Abs(leftLeg);
        m_rightLeg = Math.Abs(rightLeg);
    }

    private double GetRightSmallBase()
    {
        return (Math.Pow(m_rightLeg,2.0) - Math.Pow(m_leftLeg,2.0) + Math.Pow(m_longBase,2.0) + Math.Pow(m_shortBase,2.0) - 2* m_shortBase * m_longBase)/ (2*(m_longBase - m_shortBase));
    }

    public double GetHeight()
    {
        double x = GetRightSmallBase();
        return Math.Sqrt(Math.Pow(m_rightLeg,2.0) - Math.Pow(x,2.0));
    }

    public double GetSquare()
    {
        return GetHeight() * m_longBase / 2.0;
    }

    public double GetLeftBaseRadianAngle()
    {
        double sinX = GetHeight()/m_leftLeg;
        return Math.Round(Math.Asin(sinX),2);
    }

    public double GetRightBaseRadianAngle()
    {
        double x = GetRightSmallBase();
        double cosX = (Math.Pow(m_rightLeg,2.0) + Math.Pow(x,2.0) - Math.Pow(GetHeight(),2.0))/(2*x*m_rightLeg);
        return Math.Round(Math.Acos(cosX),2);
    }

    public double GetLeftBaseDegreeAngle()
    {
        double x = GetLeftBaseRadianAngle() * 180/ Math.PI;
        return Math.Round(x,2);
    }

    public double GetRightBaseDegreeAngle()
    {
        double x = GetRightBaseRadianAngle() * 180/ Math.PI;
        return Math.Round(x,2);
    }

    static void Main(string[] args)
    {
        MathTrapezoidSample trpz = new MathTrapezoidSample(20.0, 10.0, 8.0, 6.0);
        Console.WriteLine("The trpezoid's bases are 20.0 and 10.0, the trapezoid's legs are 8.0 and 6.0");
        double h = trpz.GetHeight();
        Console.WriteLine("Trapezoid height is: " + h.ToString());
        double dxR = trpz.GetLeftBaseRadianAngle();
        Console.WriteLine("Trapezoid left base angle is: " + dxR.ToString() + " Radians");
        double dyR = trpz.GetRightBaseRadianAngle();
        Console.WriteLine("Trapezoid right base angle is: " + dyR.ToString() + " Radians");
        double dxD = trpz.GetLeftBaseDegreeAngle();
        Console.WriteLine("Trapezoid left base angle is: " + dxD.ToString() + " Degrees");
        double dyD = trpz.GetRightBaseDegreeAngle();
        Console.WriteLine("Trapezoid left base angle is: " + dyD.ToString() + " Degrees");
    }
}

[C++] 
/// <summary>
/// The following class represents simple functionality of the Trapezoid
/// </summary>

public __gc class MathTrapezoidSample {
private:
   double m_longBase;
   double m_shortBase;
   double m_leftLeg;
   double m_rightLeg;

public:
   MathTrapezoidSample(double longbase, double shortbase, double leftLeg, double rightLeg) {
      m_longBase = Math::Abs(longbase);
      m_shortBase = Math::Abs(shortbase);
      m_leftLeg = Math::Abs(leftLeg);
      m_rightLeg = Math::Abs(rightLeg);
   }

private:
   double GetRightSmallBase() {
      return
         ( Math::Pow(m_rightLeg, 2.0)
         - Math::Pow(m_leftLeg, 2.0)
         + Math::Pow(m_longBase, 2.0)
         + Math::Pow(m_shortBase, 2.0)
         - 2* m_shortBase * m_longBase ) / (2*(m_longBase - m_shortBase));
   }

public:
   double GetHeight() {
      double x = GetRightSmallBase();
      return Math::Sqrt(Math::Pow(m_rightLeg, 2.0) - Math::Pow(x, 2.0));
   }

   double GetSquare() {
      return GetHeight() * m_longBase / 2.0;
   }

   double GetLeftBaseRadianAngle() {
      double sinX = GetHeight()/m_leftLeg;
      return Math::Round(Math::Asin(sinX), 2);
   }

   double GetRightBaseRadianAngle() {
      double x = GetRightSmallBase();
      double cosX =
         (Math::Pow(m_rightLeg, 2.0) + Math::Pow(x, 2.0) - Math::Pow(GetHeight(), 2.0))
         / (2*x*m_rightLeg);
      return Math::Round(Math::Acos(cosX), 2);
   }

   double GetLeftBaseDegreeAngle() {
      double x = GetLeftBaseRadianAngle() * 180 / Math::PI;
      return Math::Round(x, 2);
   }

   double GetRightBaseDegreeAngle() {
      double x = GetRightBaseRadianAngle() * 180 / Math::PI;
      return Math::Round(x, 2);
   }
};

int main() {
   MathTrapezoidSample* trpz = new MathTrapezoidSample(20.0, 10.0, 8.0, 6.0);
   Console::WriteLine(S"The trpezoid's bases are 20.0 and 10.0, the trapezoid's legs are 8.0 and 6.0");

   double h = trpz->GetHeight();
   Console::WriteLine(S"Trapezoid height is: {0}", h.ToString());

   double dxR = trpz->GetLeftBaseRadianAngle();
   Console::WriteLine(S"Trapezoid left base angle is: {0} Radians", dxR.ToString());

   double dyR = trpz->GetRightBaseRadianAngle();
   Console::WriteLine(S"Trapezoid right base angle is: {0} Radians", dyR.ToString());

   double dxD = trpz->GetLeftBaseDegreeAngle();
   Console::WriteLine(S"Trapezoid left base angle is: {0} Degrees", dxD.ToString());

   double dyD = trpz->GetRightBaseDegreeAngle();
   Console::WriteLine(S"Trapezoid left base angle is: {0} Degrees", dyD.ToString());
}

[JScript] No example is available for JScript. To view a Visual Basic, C#, or C++ example, click the Language Filter button in the upper-left corner of the page.

Requirements

Platforms: Windows 98, Windows NT 4.0, Windows Millennium Edition, Windows 2000, Windows XP Home Edition, Windows XP Professional, Windows Server 2003 family, .NET Compact Framework, Common Language Infrastructure (CLI) Standard

See Also

Math Class | Math Members | System Namespace