If \[{{p}_{1}},{{p}_{2}},{{p}_{3}}\] are altitudes of a triangle \[ABC\]from the vertices \[A,B,C\] and \[\Delta \] the area of the triangle, then \[p_{1}^{-2}+p_{2}^{-2}+p_{3}^{-2}\] is equal to

\[\frac{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}}{{{\Delta }^{2}}}\]

\[\frac{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}}{4{{\Delta }^{2}}}\]

If \[{{p}_{1}},{{p}_{2}},{{p}_{3}}\] are altitudes of a triangle \[ABC

1.	If \[{{p}_{1}},{{p}_{2}},{{p}_{3}}\] are altitudes of a triangle \[ABC\]from the vertices \[A,B,C\] and \[\Delta \] the area of the triangle, then \[p_{1}^{-2}+p_{2}^{-2}+p_{3}^{-2}\] is equal to
A.	\[\frac{a+b+c}{\Delta }\]
B.	\[\frac{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}}{4{{\Delta }^{2}}}\]
C.	\[\frac{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}}{{{\Delta }^{2}}}\]
D.	None of these
Answer» C. \[\frac{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}}{{{\Delta }^{2}}}\]

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If \[{{p}_{1}},{{p}_{2}},{{p}_{3}}\] are altitudes of a triangle \[ABC\]from the vertices \[A,B,C\] and \[\Delta \] the area of the triangle, then \[p_{1}^{-2}+p_{2}^{-2}+p_{3}^{-2}\] is equal to

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