proof the following using only euclidean geometry:(adsbygoogle = window.adsbygoogle || []).push({});

Let S be any point inside a triangle ABC and let SP; SQ; SR be

perpendicular to the sides BC;CA;AB respectively, then

SA + SB + SC >= 2 (SP + SQ + SR)

Hint: Set P1; P2 be the feet of the perpendiculars from R and Q upon

BC. Prove first that (i) QR >= P1P2 and (ii) PRP1 and SBR are

similar triangles.

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# Euclidean geomtry question

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