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What type of triangle has 3 angle bisectors that are also perpendicular bisectors?
Oh, what a happy little question! The type of triangle you're describing is called an equilateral triangle. In an equilateral triangle, all three angles are equal, and the angle bisectors are also the perpendicular bisectors of the sides, creating a beautiful balance in the painting of geometry.
What else can I help you with?
Is the three perpendicular bisector of a triangle intersect at a point in the exterior of the triangle true or false?
The three ANGLE bisectors of a triangle also bisect the sides, and intersect at a point INSIDE the triangle. The angle bisectors are not necessarily perpendicular to them. The perpendicular bisectors of the sides can intersect in a point either inside or outside the triangle, depending on the shape of the triangle.
What kind of triangle has three angle bisectors that are also altitudes and medians?
Equilateral
What are the properties of an equilateral triangle?
Equilateral triangles have, by definition, 3 equal sides. This means they also have 3 equal angles (i.e. they are equiangular) with each angle measuring 60 degrees. They have 3 lines of symmetry from each vertex to the midpoint of the opposite side. These lines are the medians, perpendicular bisectors, altitudes, and angle bisectors of the triangle. The point where these three lines intersect is the centroid, incenter, circumcenter, and orthocenter of the triangle. The area of an equilateral triangle is sqrt(3)/4*s where s is the side length of the triangle.
How many perpendicular sides does an obtuse triangle have?
An obtuse triangle is a triangle with one angle greater than 90 degrees. Since a perpendicular side is a side that forms a right angle with another side, an obtuse triangle can have 0 perpendicular sides if all its angles are obtuse. However, it can also have 1 perpendicular side if one of its angles is a right angle.
What is the intersection of three angle bisectors of a triangle called?
Orthocenter My improvement: The three angle bisectors will intersect at a point called the incenter. At this point it also the center of the largest possible circle within the triangle. Since a circle has a center point, this point within the triangle is called the incenter. The three heights of a triangle will meet at a special point called the orthocenter.
Which type of triangle will always have 3 angle bisectors that are also perpendicular bisectors?
equalateral
Is the three perpendicular bisector of a triangle intersect at a point in the exterior of the triangle true or false?
The three ANGLE bisectors of a triangle also bisect the sides, and intersect at a point INSIDE the triangle. The angle bisectors are not necessarily perpendicular to them. The perpendicular bisectors of the sides can intersect in a point either inside or outside the triangle, depending on the shape of the triangle.
What are 2 properties of an isosceles triangle?
-- An isosceles triangle has two equal sides. -- An isosceles triangle has two equal angles. -- An isosceles triangle has two equal interior-angle bisectors. -- The bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the triangle's base.
What kind of triangle has three angle bisectors that are also altitudes and medians?
Equilateral
If two angle bisectors of a triangle are congruent then prove that triangle is isosceles?
The two angle bisectors of a triangle are congruent the those two angles are congruent. The angles are bisected the same meaning that the whole and half angle are the same. For example if they are bisected at the whole angle 50 each, then each half is 25. The bisectors really don't mean anything and all you need is 50 to know it's isosceles. 50 and 50 is 100 and the left over for the last angle is 80 adding to 180. AND overall any 2 congruent angles in a triangle have the same congruent legs making it isosceles.
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.
Is the angle bisector also the median in an equilateral triangle?
No. The angle bisector is a line. Where the three lines meet is the median. In an equilateral triangle the INTERSECTION of the angle bisectors is the median.
Does a right triangle have perpendicular?
Two of the three lines in a right triangle are perpendicular. Perpendicular lines meet at a 90 degree angle (also called a right angle). All right angle triangles have one right angle.
Are the angle bisectors of a regular polygon sometimes concurrent?
The angle bisectors of a regular polygon are always concurrent. And the point that they meet at is also the meeting point of the perpendicular bisectors of the sides. If it is a polygon with an odd nmber of sides, the "medians" [line from vertex to mid-point of opposite side] and "altitudes" [perpendicular from vertex to opposite side] will also meet at the same point.
What is a of a triangle is a segment joining a vertix and the midpoint of the side opposite the vertex?
This line is called the bisector (German Halbierende, Dutch bissectrice, Swedish bisektris).In an isosceles triangle the bisector of the side opposite the unequal angle is also perpendicular to that side.In an equilateral triangle all bisectors are perpendicular to the opposite sides.The point in which all bisectors meet in a triangle is called its barycenter (English from Greek meaning "center of gravity") and if the triangle were made of a homogeneous material of infinitesimal height (that is, if it were two-dimensional) it would be indeed its center of gravity.
What are the properties of an equilateral triangle?
Equilateral triangles have, by definition, 3 equal sides. This means they also have 3 equal angles (i.e. they are equiangular) with each angle measuring 60 degrees. They have 3 lines of symmetry from each vertex to the midpoint of the opposite side. These lines are the medians, perpendicular bisectors, altitudes, and angle bisectors of the triangle. The point where these three lines intersect is the centroid, incenter, circumcenter, and orthocenter of the triangle. The area of an equilateral triangle is sqrt(3)/4*s where s is the side length of the triangle.
How many perpendicular sides does an obtuse triangle have?
An obtuse triangle is a triangle with one angle greater than 90 degrees. Since a perpendicular side is a side that forms a right angle with another side, an obtuse triangle can have 0 perpendicular sides if all its angles are obtuse. However, it can also have 1 perpendicular side if one of its angles is a right angle.
