If p,q,r are the perpendiculars from the vertices of a triangle upon any straight line meeting the sides externally in D ,,E,F, prove that a^2(p−q)(p−r)+b^2(q−r)(q−p)+c^2(r−p)(r−q)=4∆^2

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If p,q,r are the perpendiculars from the vertices of a triangle upon any straight line meeting the sides externally in D ,,E,F, prove that a^2(p−q)(p−r)+b^2(q−r)(q−p)+c^2(r−p)(r−q)=4∆^2

If p,q,r are the perpendiculars from the vertices of a triangle upon any straight line meeting the sides externally in D ,,E,F, prove that a^2(p−q)(p−r)+b^2(q−r)(q−p)+c^2(r−p)(r−q)=4∆^2

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If p,q,r are the perpendiculars from the vertices of a triangle upon any straight line meeting the sides externally in D ,,E,F, prove that a^2(p−q)(p−r)+b^2(q−r)(q−p)+c^2(r−p)(r−q)=4∆^2

If p,q,r are the perpendiculars from the vertices of a triangle upon any straight line meeting the sides externally in D ,,E,F, prove that a^2(p−q)(p−r)+b^2(q−r)(q−p)+c^2(r−p)(r−q)=4∆^2

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