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Which two points of concurrency always remain inside the triangle and why?
The two points of concurrency that always remain inside a triangle are the centroid and the incenter. The centroid, formed by the intersection of the medians, is the triangle's center of mass and always lies within the triangle. The incenter, formed by the intersection of the angle bisectors, is equidistant from all sides and, by the properties of triangles, must also be located inside the triangle.
Which type of triangle contains its centroid?
All types of triangles—scalene, isosceles, and equilateral—contain their centroid. The centroid, which is the point where the three medians intersect, is always located inside the triangle, regardless of its type. This property holds true because the centroid is calculated as the average of the vertices' coordinates, ensuring it lies within the triangle's boundaries.
If n equals the number of sides in a polygon what equals the number of trianges within the polygon?
There can be no formula for the number of triangles within the polygon. Any triangle can be split into two by a line from one of the vertices to the opposite side. Thus the number of triangles can be increased by one by simply splitting one triangle. And then THAT triangle can be split in two, and the that one, ...
Can a triangle be inscribed in a circle?
Yes. Any triangle can be inscribed within a circle, although the center of the circle may not necessarily lie within the triangle.
How do you work out angles in a triangle within a rectangle?
The answer will depend on how the triangle is situated within the rectangle (how many of the triangle's vertices coincide with those of the rectangle), and what other information you have.
Which two points of concurrency always remain inside the triangle and why?
The two points of concurrency that always remain inside a triangle are the centroid and the incenter. The centroid, formed by the intersection of the medians, is the triangle's center of mass and always lies within the triangle. The incenter, formed by the intersection of the angle bisectors, is equidistant from all sides and, by the properties of triangles, must also be located inside the triangle.
Which type of triangle contains its centroid?
All types of triangles—scalene, isosceles, and equilateral—contain their centroid. The centroid, which is the point where the three medians intersect, is always located inside the triangle, regardless of its type. This property holds true because the centroid is calculated as the average of the vertices' coordinates, ensuring it lies within the triangle's boundaries.
If n equals the number of sides in a polygon what equals the number of trianges within the polygon?
There can be no formula for the number of triangles within the polygon. Any triangle can be split into two by a line from one of the vertices to the opposite side. Thus the number of triangles can be increased by one by simply splitting one triangle. And then THAT triangle can be split in two, and the that one, ...
Which taxon contains the fewest number of species?
Species within the class Cephalaspidomorphi, which includes the lampreys, comprise the smallest number of species among vertebrates, with around 38 recognized species.
What are the multiples of 5 within pascals triangle?
The Sierpinski Triangle
Can a triangle be inscribed in a circle?
Yes. Any triangle can be inscribed within a circle, although the center of the circle may not necessarily lie within the triangle.
How do you work out angles in a triangle within a rectangle?
The answer will depend on how the triangle is situated within the rectangle (how many of the triangle's vertices coincide with those of the rectangle), and what other information you have.
Where is the orthocenter on an obtuse triangle?
An orthocenter on an obtuse triangle actually lies outside of the triangle. In an acute triangle, the orthocenter lies within the triangle.
How much equal angles does an equilateral triangle?
There are three measurable angles within a triangle, and within a equilateral triangle there are thee equal angles, each measuring 60o .
What is meant by the orthcentre of a triangle?
The 'orthcentre' of a triangle is at the point where the 3 perpendicular altitudes intersect within the triangle.
Could a triangle with uneven sides be a right triangle?
Yes, actually it has to be. The only type of triangle with even sides is an equilateral triangle, but all of the angles of an equilateral are 60 degrees, because everything is equal and 180(total degrees within a triangle)/3(number of angles)=60(degrees per angle of an equilateral).
What is well conditioned triangle in surveying?
a triangle that all the angles within it are between 30 and 120 degrees. an equilateral triangle is ideal
