Prove that through a given point, we can draw only one perpendicular to a given line.
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108
Hey mate..
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Let A be the point and L be the line. Suppose that B and C are two different points on line L with AB and AC both perpendicular to L. Then triangle ABC has right angles at B and C, plus an angle at A which add up to more than 180°. That does not work for a triangle in the plane whose angles have to add up to exactly 180°.
Hope it helps !!
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Let A be the point and L be the line. Suppose that B and C are two different points on line L with AB and AC both perpendicular to L. Then triangle ABC has right angles at B and C, plus an angle at A which add up to more than 180°. That does not work for a triangle in the plane whose angles have to add up to exactly 180°.
Hope it helps !!
Answered by
34
Let A be the point and L be the line. Suppose that B and C are two different points on line L with AB and AC both perpendicular to L. Then triangle ABC has right angles at B and C, plus an angle at A which add up to more than 180°. That does not work for a triangle in the plane whose angles have to add up to exactly 180°.
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