false
The circumcenter is equidistant from each vertex of the triangle.The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.The circumcenter of a right triangle falls on the side opposite the right angle.The incenter of a triangle is always inside it.The incenter is where all of the bisectors of the angles of the triangle meet.The incenter is equidistant from each side of the triangle
The circumcenter is equidistant from each vertex of the triangle.The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.The circumcenter of a right triangle falls on the side opposite the right angle.The incenter of a triangle is always inside it.The incenter is where all of the bisectors of the angles of the triangle meet.The incenter is equidistant from each side of the triangle
Euler's line is the line that, inside of a triangle that isn't equilateral, contains the orthocenter, the circumcenter, the centroid, and the center of the nine-point circle
Figure B. equilateral triangle (small circle) inside of isosceles triangle (big cirlce)
A Triangle's OrthocenterNo, it can be outside the triangle.
The circumcenter can be inside or outside the triangle.
circumcenter circumcenter is wrong, it is the incenterbecause the point of concurrency is always on the inside of the triangle.
inside
inside
The circumcenter of a triangle is the point where the perpendicular bisectors of the triangle's sides intersect. It is equidistant from all three vertices of the triangle, making it the center of the circumcircle, which is the circle that passes through all three vertices. The circumcenter's location varies depending on the triangle type: it lies inside the triangle for acute triangles, on the triangle for right triangles, and outside for obtuse triangles.
The circumcenter of a triangle will lie inside the triangle if the triangle is acute, meaning all its angles are less than 90 degrees. In this case, the perpendicular bisectors of the triangle's sides intersect at a point that is located within the triangle. Conversely, if the triangle is obtuse (one angle greater than 90 degrees), the circumcenter will lie outside the triangle. For right triangles, the circumcenter lies at the midpoint of the hypotenuse.
The circumcenter is equidistant from each vertex of the triangle.The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.The circumcenter of a right triangle falls on the side opposite the right angle.The incenter of a triangle is always inside it.The incenter is where all of the bisectors of the angles of the triangle meet.The incenter is equidistant from each side of the triangle
The circumcenter is equidistant from each vertex of the triangle.The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.The circumcenter of a right triangle falls on the side opposite the right angle.The incenter of a triangle is always inside it.The incenter is where all of the bisectors of the angles of the triangle meet.The incenter is equidistant from each side of the triangle
The point where the altitudes of a triangle intersect is called the orthocenter. This point is concurrent, meaning the three altitudes intersect at this single point inside or outside the triangle. The orthocenter is different from the centroid, circumcenter, and incenter of a triangle.
The intersection of the three altitudes of a triangle is called the orthocenter. This point can lie inside the triangle for acute triangles, on the triangle for right triangles, and outside the triangle for obtuse triangles. The orthocenter is one of the triangle's key points of concurrency, along with the centroid and circumcenter.
The point where the altitudes of a triangle meet is called the orthocenter. This point can be located inside the triangle for acute triangles, on the triangle for right triangles, and outside the triangle for obtuse triangles. The orthocenter is one of the four main points of concurrency in a triangle, alongside the centroid, circumcenter, and incenter.
Euler's line is the line that, inside of a triangle that isn't equilateral, contains the orthocenter, the circumcenter, the centroid, and the center of the nine-point circle