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## Medians and Altitudes of a Triangle## InstructionsUse the Basic Triangles or the More Triangleslinks to answer the following questions. - If you make an isosceles triangle ABC with the bases at A(-5, 8) and and B(-5,-10),
where would C have to be so that the base angles measure 59 °?
- Would C be closer or farther to AB if angle C increases?
- What is the length of AC if all the angles were equal (use the co-ords of question #1)?
- Do the medians of a triangle ever intersect at a point? Always or only for certain types of triangles?
- Do the altitudes of a triangle ever intersect at a point? Always or only for certain types of triangles?
- Can you find the co-ords of a triangle ABC such that is equilateral?
- Can you find the co-ords of a triangle ABC such that it is isosceles?
- Can you find the co-ords of a triangle such that it has a perpendicular bisector,
but is neither equilateral nor isosceles?
- What kind of triangles have altitudes outside the triangle itself?
- Is it ever possible to have all the altitudes of a triangle outside the triangle itself?
- Is the median ever the altitude? Always or only for certain types of triangles?
- True or false, an angle bisector bisects the side opposite the bisected angle?
- True or false, a median bisects the angle at the vertex from which it is drawn?
- True or false, the length of a median is equal to half the length of the side it bisects?
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