How to put in my table in JSON jQuery a sql pdf?

If you have the route in the BD and you have it in Data , you should show a link with a blank target that points to the path of the file resulting in a file download by clicking on the link, see:

table.append("<tr id='row_" + i + "'><td style='display: none'>" + Data[i].id + "</td><td name='nombre'>" + Data[i].nombre "</td>" + "<td name='nomArchivo'>" + "<a href='http://AquiVaTuDominio.com/'" + Data[i].ruta + " target='_blank'>" + Data[i].nomArchivo + "</a></td></td></tr>");

Update

Now knowing in detail the characteristics of how the software is being built, here is a better answer:

First we create a Generic Handler (* .ashx) called FileCS in the root of the project with the following code:

<%@ WebHandler Language="C#" Class="FileCS" %>

using System;
using System.Web;
using System.Data;
using System.Data.SqlClient;
using System.Configuration;
public class FileCS : IHttpHandler
{
    public void ProcessRequest(HttpContext context)
    {
        //Aqui falta algo importante: saber si el usuario está autenticado para darle la seguridad del caso
        int id = int.Parse(context.Request.QueryString["IdDeMiPDF"]);
        byte[] bytesDelPDF;
        string fileName, contentType;
        //De aqui sacamos la cadena de conexion
        string constr = ConfigurationManager.ConnectionStrings["constr"].ConnectionString;
        using (SqlConnection con = new SqlConnection(constr))
        {
            using (SqlCommand cmd = new SqlCommand())
            {
                cmd.CommandText = "SELECT nombre, ruta, tipo FROM nombreDeLaTabla WHERE Id=@IdDeMiPDF";
                cmd.Parameters.AddWithValue("@IdDeMiPDF", id);
                cmd.Connection = con;
                con.Open();
                using (SqlDataReader sdr = cmd.ExecuteReader())
                {
                    sdr.Read();
                    bytesDelPDF = (byte[])sdr["ruta"];
                    contentType = sdr["tipo"].ToString();
                    fileName = sdr["nombre"].ToString();
                }
                con.Close();
            }
        }
        context.Response.Buffer = true;
        context.Response.Charset = "";       
        context.Response.AppendHeader("Content-Disposition", "attachment; filename=" + fileName);        
        context.Response.Cache.SetCacheability(HttpCacheability.NoCache);
        context.Response.ContentType = "application/pdf";
        context.Response.BinaryWrite(bytesDelPDF);
        context.Response.Flush();
        context.Response.End();
    }

    public bool IsReusable
    {
        get
        {
            return false;
        }
    }
}

Second, define the call to that file by sending the ID

ResolveUrl("~/FileCS.ashx?IdDeMiPDF=") //Y le agregas el ID, esto corre en el lado del servidor, tienes que ver cual es la ruta del archivo y lo llamas.

In your javascript the idea goes like this:

Change this

"<a href='http://AquiVaTuDominio.com/'" + Data[i].ruta + "target='_blank'>" 

For something similar:

"<a href='http://AquiVaTuDominio.com/FileCS.ashx?IdDeMiPDF='" + Data[i].id+ "target='_blank'>" 

Note where the FileCS.ashx file is.

Reference: link