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What is the equation for orthocenter?
The orthocentre of a triangle is the point at which the altitudes meet.
Can the altitudes of a right triangle intersect in the interior of the triangle?
No. Only 2 altitudes can intersect at a point. * * * * * True but even they do not meet in the interior. The altitudes of a right angles triangle meet at the right angled vertex. The vertex is at the boundary of the triangle, not in the interior.
Are the lines that contain the altitudes of a triangle are parallel?
No, they meet at a single point.
In any triangle when bisectors meet at one point then the bisectors are called?
This point is called the incentre of the triangle.
In a triangle where the point perpendicular bisectors meet is called?
inscribed
What is the point where the altitudes to the sides of a triangle all meet?
The ORTHOCENTRE
What is the equation for orthocenter?
The orthocentre of a triangle is the point at which the altitudes meet.
Can the altitudes of a right triangle intersect in the interior of the triangle?
No. Only 2 altitudes can intersect at a point. * * * * * True but even they do not meet in the interior. The altitudes of a right angles triangle meet at the right angled vertex. The vertex is at the boundary of the triangle, not in the interior.
Are the lines that contain the altitudes of a triangle are parallel?
No, they meet at a single point.
Do the altidudes of a triangle always meet in the interior of the triangle?
In a obtuse triangle, the point of concurrency, where multiple lines meet, of the altitudes, called the orthocenter, is outside the triangle. In a right angle, the orthocenter lies on the vertex (corner) of the right angle. In an acute angle, the orthocenter lies inside the triangle.
How you can find the orthocentre of a triangle?
Draw two altitudes: an altitude is a straight line from a vertex to the opposite side. The three altitudes of a triangle meet at the orthocentre, but two are enough to determine the point.
In any triangle when bisectors meet at one point then the bisectors are called?
This point is called the incentre of the triangle.
What is the point in a triangle where all three angle bisectors meet?
The point in a triangle where all three angle bisectors meet is called the incenter.
What is the purpose of an orthocenter?
In short, the orthocenter really has no purpose. There are 4 points of Concurrency in Triangles: 1) The Centroid - the point of concurrency where the 3 medians of a triangle meet. This point is also the triangle's center of gravity. 2) The Circumcenter - the point of concurrency where the perpendicular bisectors of all three sides of the triangle meet. This point is the center of the triangle's circumscribed circle. 3) The Incenter - the point of concurrency where the angle bisectors of all three angles of the triangle meet. Like the circumcenter, the incenter is the center of the inscribed circle of a triangle. 4) The Orthocenter - the point of concurrency where the 3 altitudes of a triangle meet. Unlike the other three points of concurrency, the orthocenter is only there to show that altitudes are concurrent. Thus, bringing me back to the initial statement.
Which statement about an altitude of a triangle is always true?
An altitude intersects another altitude at the centroid. FALSE - The altitudes intersect at what is called the orthocenter.An altitude intersects another altitude at its midpoint. FALSE - The altitudes will meet at random intersection points.An altitude is present inside a triangle FALSE - The altitude can be outside the triangle.An altitude makes a right angle with a side of the triangle. TRUE - An altitude is the line from a vertex to the opposite side, forming a right angle.
In a triangle where the point perpendicular bisectors meet is called?
inscribed
Are the lines that contain the altitudes of a triangle concurrent?
Yes. They meet at the orthocentre.
