Hi ilancof,
Please refer below sample.
HTML
<asp:ScriptManager runat="server" />
<asp:TextBox ID="Editor1" runat="server" Width="300" Height="200" />
<ajaxToolkit:HtmlEditorExtender runat="server" TargetControlID="Editor1">
</ajaxToolkit:HtmlEditorExtender>
<br />
<asp:Button Text="Save" runat="server" OnClick="OnSave" />
Code
C#
public bool RemoveLinhasVazias(string pTexto)
{
    string[] pDelimiters = new string[] { "\n", "\r", "\n\r" };
    string[] pLines = pTexto.Split(pDelimiters, StringSplitOptions.RemoveEmptyEntries);
    string pResult = string.Join(Environment.NewLine, pLines);
    pResult = StripHTML(pResult);
    if (string.IsNullOrEmpty(pResult.Trim()))
    {
        return true;
    }
    else
    {
        return false;
    }
}
public static string StripHTML(string input)
{
    return System.Text.RegularExpressions.Regex.Replace(input, "<.*?>", String.Empty);
}
protected void OnSave(object sender, EventArgs e)
{
    string pTexto;
    pTexto = Editor1.Text.Trim();
    if (RemoveLinhasVazias(pTexto))
    {
        ClientScript.RegisterStartupScript(this.GetType(), "", "alert('Empty');", true);
    }
    else if (!RemoveLinhasVazias(pTexto))
    {
        ClientScript.RegisterStartupScript(this.GetType(), "", "alert('Not empty');", true);
    }
}
VB.Net
Public Function RemoveLinhasVazias(ByVal pTexto As String) As Boolean
        Dim pDelimiters As String() = New String() {vbLf, vbCr, vbLf & vbCr}
        Dim pLines As String() = pTexto.Split(pDelimiters, StringSplitOptions.RemoveEmptyEntries)
        Dim pResult As String = String.Join(Environment.NewLine, pLines)
        pResult = StripHTML(pResult)
        If String.IsNullOrEmpty(pResult.Trim()) Then
            Return True
        Else
            Return False
        End If
    End Function
    Public Shared Function StripHTML(ByVal input As String) As String
        Return System.Text.RegularExpressions.Regex.Replace(input, "<.*?>", String.Empty)
    End Function
    Protected Sub OnSave(ByVal sender As Object, ByVal e As EventArgs)
        Dim pTexto As String
        pTexto = Editor1.Text.Trim()
        If RemoveLinhasVazias(pTexto) Then
            ClientScript.RegisterStartupScript(Me.GetType(), "", "alert('Empty');", True)
        ElseIf Not RemoveLinhasVazias(pTexto) Then
            ClientScript.RegisterStartupScript(Me.GetType(), "", "alert('Not empty');", True)
        End If
    End Sub
Screenshot
