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Showline segment is the shortest.that of althat of all line segments drawn from a given pount not on it, the perpendicular |
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Answer» Diagram for the question We have a straight line AB.Take a point P not on AB, but some distance away. We draw PC the perpendicular on to AB meeting AB at C. We draw another line from P to D, where D lies on AB. We show that PD > PC, for any point D other than C. In the triangle PCD, use the Pythagorean law for sides:PC² + CD² = DP² Since CD² is positive and adds to PC², PC²+CD² > PC²Hence DP² > PC² So DP > PC SO PC, the perpendicular distance from an external point to a line segment, is the shortest HIT THE LIKE BUTTON IF YOU ARE SATISFIED |
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