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What triangle must always have at least one angle bisector that is also a perpendicular bisector?
any isosceles triangle
What do you call the intersection of a triangle angle bisector?
triangles angle bisector is called incenter..
If each side of the equilateral triangle measures 9c find the height of the triangle?
The area of a triangle is one-half the product of the triangle's base and height. The height of an equilateral triangle is the distance from one vertex along the perpendicular bisector line of the opposite side. This line divides the equilateral triangle into two right triangles, each with a hypotenuse of 9c and a base of (9/2)c. From the Pythagorean theorem, the height must be the square root of {(9c)2 - [(9/2)c]}, and this height is the same as that of the equilateral triangle.
Could the median of a triangle be the perpendicular bisector?
Yes in equilateral triangle.
Is the altitude of a triangle always the perpendicular bisector?
No.
Can the angle bisector of a triangle also be the perpendicular bisector?
Yes. The bisector of one angle of a triangle is the perpendicular bisector of theopposite side if the bisected angle is the vertex angle of an isosceles triangle,or any angle of an equilateral triangle.
What triangle must always have at least one angle bisector that is also a perpendicular bisector?
any isosceles triangle
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.
What do you call the intersection of a triangle angle bisector?
triangles angle bisector is called incenter..
If each side of the equilateral triangle measures 9c find the height of the triangle?
The area of a triangle is one-half the product of the triangle's base and height. The height of an equilateral triangle is the distance from one vertex along the perpendicular bisector line of the opposite side. This line divides the equilateral triangle into two right triangles, each with a hypotenuse of 9c and a base of (9/2)c. From the Pythagorean theorem, the height must be the square root of {(9c)2 - [(9/2)c]}, and this height is the same as that of the equilateral triangle.
Could the median of a triangle be the perpendicular bisector?
Yes in equilateral triangle.
Is the altitude of a triangle always the perpendicular bisector?
No.
How many angle bisector has a triangle?
3
Can the perpendicular bisector of a side of a triangle ever be the median to a side of a triangle?
Yes, it can.
Perpendicular bisector of a triangle?
Is a line that bisects a side of a triangle and is perpendicular to that side.
How does the perpendicular bisector affect the vertex angle of an isoceles triangle?
The perpendicular bisector bisects the angle at the vertex.
