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30 Mar 2017, 08:18
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How many of the three heights of triangle ABC do not pass inside the triangle?
(1) ΔABC is obtuse.
(2) The altitude of A from BC does not pass inside ΔABC.
(1) ΔABC is obtuse.
(2) The altitude of A from BC does not pass inside ΔABC.
30 Mar 2017, 08:30
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St1: ABC is obtuse --> Suppose B is the obtuse angle and BC is the base. Project BC to a point D such that D is vertically below A then AD will be the height and will lie outside the triangle. Thus, there is one height that does not pass inside the triangle.
St2: The altitude of A from BC does not pass inside ΔABC. --> Sufficient.
Answer: D
St2: The altitude of A from BC does not pass inside ΔABC. --> Sufficient.
Answer: D
03 Apr 2017, 09:13
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I did not understand this question. Diagrams please?
