1- "p" is your intersected point

2- "v1,v2,v3" are your intersected face vertices

3- "N" is your face normal or you can calculate it from your vertices
{
  A = v2 - v1
  B = v3 - v1
  N = normalize( cross( A , B ) )
}

4- Calculate your Up and Right vector
{
  up = normalize( p - v1 )
  right = cross( up , N )
}

5- "Q1,Q2,Q3,Q4" are your Quad vertices and can calculate like this
{
  Q1 = p + up * scale
  Q2 = p - up * scale
  Q3 = p + right * scale
  Q4 = p - right * scale
}

1- "p" is your intersected point

2- "v1,v2,v3" are your intersected face vertices

3- "N" is your face normal or you can calculate it from your vertices
{
  A = v2 - v1
  B = v3 - v1
  N = normalize( cross( A , B ) )
}

4- Calculate your Up and Right vector
{
  up = normalize( p - v1 )
  right = cross( up , N )
}

5- "Q1,Q2,Q3,Q4" are your Quad vertices and can calculate like this
{
  Q1 = p + up * scale
  Q2 = p + up * scale * -1
  Q3 = p + right * scale
  Q4 = p + right * scale * -1
}

1- "p" is your intersected point


2- "v1,v2,v3" are your intersected face vertices

3- "N" is your face normal or you can calculate it from your vertices
{
  A = v2 - v1
  B = v3 - v1
  N = normalize( cross( A , B ) )
}

4- Calculate your Up and Right vector
{
  up = normalize( p - v1 )
  right = cross( up , N )
}
5- "Q1,Q2,Q3,Q4" are your Quad vertices and can calculate like this
{
  Q1 = p + up * scale
  Q2 = p + up * scale * -1
  Q3 = p + right * scale
  Q4 = p + right * scale * -1
}