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Given certain triangles, it would be possible for an angle to be bisected and create two new triangles which are similar to each other. And in the case of a [45°, 45°, 90°] right triangle, if you bisect the right angle, then you will create two new [45°, 45°, 90°] triangles (both similar to each other and similar to the original).
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What do you call the intersection of a triangle angle bisector?
triangles angle bisector is called incenter..
How does the perpendicular bisector affect the vertex angle of an isoceles triangle?
The perpendicular bisector bisects the angle at the vertex.
How do the Triangle-Angle Bisector Theorem and the Angle Bisector Theorem differ?
They are the same concept, one for the angle and 1 for triangle.Definition of a triangle angle bisector is a line segment that bisects one of the vertex angles of a triangle.Definition of an angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.
How are perpendicular bisectors and angle bisectors the same?
In general, they are not. In an isosceles triangle, the perpendicular bisector of the base is the same as the bisector of the angle opposite the base. But the other two perp bisectors are not the same as the angle bisectors. Only in an equilateral triangle is each perp bisector the same as the angle bisector of the angle opposite.
What triangle must always have at least one angle bisector that is also a perpendicular bisector?
any isosceles triangle
