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What is the intersection of the angle bisectors called?
The 3 angle bisectors of a triangle intersect in a point known as the INCENTER.
Concurreny of medians of triangle?
The three medians are concurrent at a point known as the triangle's centroid. This is the center of mass of the triangle. Two-thirds of the length of each median is between the vertex and the centroid, while one-third is between the centroid and the midpoint of the opposite side.
A right angle is mearsured in how many degrees?
A Right Triangle is a triangle that has one corner with a 90-degree angle. So a Right Angle is an angle of 90 Degrees or also known as Perpendicular angle.
A segment that connects two vertices of a triangle?
That segment is known as a "side" of the triangle.
What type of triangle has 3 60-degree angles?
An equilateral triangle, also known as equiangular.
The center of a circumscribed circle about a given triangle may be found by the intersection of what?
The center of a circumscribed circle about a triangle, known as the circumcenter, can be found by the intersection of the perpendicular bisectors of any two sides of the triangle. These bisectors are the lines that are perpendicular to each side at its midpoint. The point where they intersect is equidistant from all three vertices of the triangle, thus defining the circumcenter.
What is the intersection of the angle bisectors called?
The 3 angle bisectors of a triangle intersect in a point known as the INCENTER.
What is point of concurrency for angle bisectors?
The point of concurrency for angle bisectors is known as the incenter of a triangle. It is the point where the three angle bisectors intersect, and it is equidistant from all three sides of the triangle. The incenter is also the center of the inscribed circle (incircle) that can be drawn within the triangle.
Where do the three angle bisectors of a triangle intersect?
The three angle bisectors of a triangle intersect at a point called the incenter. The incenter is equidistant from all three sides of the triangle and is the center of the circle inscribed within the triangle, known as the incircle. This point lies inside the triangle for all types of triangles, including acute, right, and obtuse triangles.
What is the orthocenter of a triangle?
The orthocenter of a triangle is the point where the three altitudes of the triangle intersect. An altitude extends from a vertex (i.e. corner of the triangle) to the side opposite of it, and is perpendicular either to the side of the triangle, or to its extension. The three altitudes of a triangle are always concurrent (intersect at the same point). This point is known as the orthocenter, and always falls on the Euler Line with the centroid, circumcenter, and the center of the triangle's nine-point circle.
How many pairs of perpendicular sides does a right triangle have?
Perpendicular means meeting at a right angle. A right triangle has 2 sides that are perpendicular, so it has 1 pair of sides that are perpendicular They are known as the "legs" of the right triangle.
What is it called when the circle is inside the triangle Geometry?
When a circle is inscribed within a triangle, it is called the "incircle." The center of the incircle is known as the "incenter," which is the point where the angle bisectors of the triangle intersect. The incircle is tangent to each side of the triangle, touching them at precisely one point.
If a circle is inscribed in a triangle the center of the circle is called the?
If a circle is inscribed in a triangle, the center of the circle is called the incenter. The incenter is the point where the angle bisectors of the triangle intersect, and it is equidistant from all three sides of the triangle. This point serves as the center of the inscribed circle, known as the incircle.
What is the length of a perpendicular line drawn from one vertex to the opposite side?
The length of a perpendicular line drawn from one vertex to the opposite side of a triangle is known as the altitude. It varies depending on the type of triangle and the position of the vertex from which the altitude is drawn. The altitude can be calculated using the area of the triangle and the length of the base to which it is perpendicular. In general, the altitude is crucial for determining the triangle's area and properties.
What is perpendicular from a vertex of a triangle to opposite side?
The perpendicular from a vertex of a triangle to the opposite side is known as the altitude of the triangle. It represents the shortest distance from the vertex to the line containing the opposite side. The point where the altitude intersects the opposite side is called the foot of the altitude. Each triangle has three altitudes, one from each vertex.
What is a line segment which joins a vertex of a triangle to the opposite side and is perpendicular to the opposite side?
A line segment that joins a vertex of a triangle to the opposite side and is perpendicular to that side is called an altitude. Each triangle has three altitudes, one from each vertex, and they can be located inside or outside the triangle, depending on the type of triangle. The point where the three altitudes intersect is known as the orthocenter.
What are properties of the intercenter of a triangle?
The intercenter of a triangle, also known as the incenter, is the point where the angle bisectors of the triangle intersect. It is equidistant from all three sides of the triangle, making it the center of the inscribed circle (incircle). The incenter lies within the triangle for all types of triangles and is a key point in triangle geometry, often used in constructions and proofs related to circles inscribed in triangles.
