Show that of all line segments drawn from a given point not on it, the – InterviewSolution

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1.	Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
Answer» For any Q and any R ST. QR>OP and OR>OP `/_OPQ` `angleOPQ=90^0` sum of angles=`angleOQP+angleQOP+90^0=180^0` `angleOQP+angleQOP=90^0` `angleOQP=angleOPQ-angleQOP` `angleOQPThe side opposite to greater angle is longer OP

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