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Find the midpoint of a side and join it to the vertex opposite. That is a median and it divides the mass of a triangle in two halves. Each triangle has three medians.
However, there is no reason for a bisector to go through a vertex - it can be a straight line through any point in the triangle. In such a case drawing the bisector analytically is likely to be beyond the skills of most geometry students. There is, though, a very simple practical solution.
Cut out a copy of the triangle on a uniform lamina. Suspend it vertically by a pin through the required point. Then the vertical line through that point (use a plumb line) is the bisector of the triangle through that point.
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Is a perpendicular bisector always an angle bisector?
thank goodness for my math teacher, norm! he said only in an isosceles triangle. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base! =)
How is constructing a perpendicular bisector different to constructing an angle bisector?
A perpendicular bisector is a straight line that divides a side of a triangle in two and is at right angles to that side. An angle bisector is a straight line that divides an angle of a triangle in two.
Will a angle bisector determine a midpoint?
If you perform an angle bisector on an angle in a triangle, then it will go through the midpoint of the opposite side.
What splits an angle of the triangle into two congruent parts?
An angle bisector.
Is it true that the perpendicular bisector of the base of an isosceles triangle splits the triangle into two congruent triangles?
Yes, it is true.
