Question 1210540: In triangle ABC, let D be a point on side BC. Select all the true statements.
If AD is an altitude of triangle ABC, then AC > AD.
If AD is a median of triangle ABC, then BD > CD.
If AD is an angle bisector of triangle ABC, then AB > BD.
Answer by greenestamps(13305)   (Show Source):
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In triangle ABC, let D be a point on side BC. Select all the true statements.
If AD is an altitude of triangle ABC, then AC > AD.
TRUE. If AD is an altitude, then it is the shortest distance from A to any point on BC; in particular, it is shorter than AC.
If AD is a median of triangle ABC, then BD > CD.
FALSE. By definition, if AD is a median then BD = CD.
If AD is an angle bisector of triangle ABC, then AB > BD.
FALSE. If angle B is a right angle or an obtuse angle, then AB is always shorter than AD.
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