Question
Can you help me with Always, Sometimes, Never questions??
I have answered all of these, but I am not sure if they are right.
1. The base angle of an isosceles triangle are acute----Always
2. When the altitude and the median are drawn from the same vertex of a triangle, the altitude is longer than the median-----Always
3. In triangle ABC, if AB is greater than AC, then <C is greater than <B-----Always
4. All three altitudes of a triangle lie outside the triangle----Sometimes
5. If an exterior angle of a triangle is obtuse, then the triangle is acute---Sometimes
I have answered all of these, but I am not sure if they are right.
1. The base angle of an isosceles triangle are acute----Always
2. When the altitude and the median are drawn from the same vertex of a triangle, the altitude is longer than the median-----Always
3. In triangle ABC, if AB is greater than AC, then <C is greater than <B-----Always
4. All three altitudes of a triangle lie outside the triangle----Sometimes
5. If an exterior angle of a triangle is obtuse, then the triangle is acute---Sometimes
Answers
drwls
You should rethink 4.
2. is 'sometimes'. Consider the isosceles case.
3. is true because of the law of sines
2. is 'sometimes'. Consider the isosceles case.
3. is true because of the law of sines