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Question Number 61856 by mr W last updated on 10/Jun/19
Commented by mr W last updated on 10/Jun/19
$${point}\:{P}\:{is}\:{randomly}\:{selected}\:{in}\:{a} \\ $$$${triangle}\:{with}\:{side}\:{lengthes}\:{a},{b},{c}. \\ $$$$\left(\mathrm{1}\right)\:{find}\:{the}\:{average}\:{value}\:{of}\:{the}\:{sum} \\ $$$${of}\:{distances}\:{from}\:{P}\:{to}\:{the}\:{vertexes}. \\ $$$$\left(\mathrm{2}\right)\:{find}\:{the}\:{minimum}\:{value}\:{of}\:{the} \\ $$$${sum}\:{of}\:{distances}\:{from}\:{P}\:{to}\:{vertexes} \\ $$$${and}\:{the}\:{corresponding}\:{position}\:{of}\:{P}. \\ $$