p is a point in the plane of triangle ABC and L,M,N are the feet of the perpendiculars from P - Maths - Solution of Triangles

Question

p is a point in the plane of triangle ABC and L,M,N are the feet of
the perpendiculars from P on to the sides of the triangle then
prove that if the value of MN+NL+LM is constant and equal to l the
least value of of PA^2+PB^2+PC^2 is l^2/sin ^2A+sin ^2B + sin
^2C

Mohammed Adil Ibrahim · Answer

pls answer this anyone asap it has been 3 days by
now

p is a point in the plane of triangle ABC and L,M,N are the feet of the perpendiculars from P on to the sides of the triangle then prove that if the value of MN+NL+LM is constant and equal to l the least value of of PA^2+PB^2+PC^2 is l^2/sin ^2A+sin ^2B + sin ^2C