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Name all types of triangles for which the point of concurrency is inside the triangle?
The answer depends on what point of concurrency you are referring to. There are four segments you could be talking about in triangles. They intersect in different places in different triangles. Medians--segments from a vertex to the midpoint of the opposite side. In acute, right and obtuse triangles, the point of concurrency of the medians (centroid) is inside the triangle. Altitudes--perpendicular segments from a vertex to a line containing the opposite side. In an acute triangle, the point of concurrency of the altitudes (orthocenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Perpendicular bisectors of sides--segments perpendicular to each side of the triangle that bisect each side. In an acute triangle, the point of concurrency of the perpendicular bisectors (circumcenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Angle bisectors--segments from a vertex to the opposite side that bisect the angles at the vertices. In acute, right and obtuse triangles, the point of concurrency of the angle bisectors (incenter) is inside the triangle.
What do you get if you cut an equilateral triangle in half along a line through one vertex?
A 30-60-90 right triangle
If a triangle has no obtuse angle then it is a right triangle?
It could be a right triangle if it has a right angle (90 degrees). If it does not have a right angle, then it is an acute triangle.
When you trisect a right angle you first construct what kind of triangle?
To trisect a right angle form an equilateral triangle with one vertex at the right angle and then bisect that angle of the equilateral triangle. (It is impossible to trisect a general angle using only compass and straight edge - the right angle is a specific exception.)
The length of three sides of the triangle are 4 feet 6 feet and 9 feet Is the triangle a right triangle?
A triangle with sides measuring ; 4 feet , 6 feet and 9 feet is a right triangle. A triangle is a right triangle as long as it has one 90 degree point.
Which point of concurrency is always on the vertex of a right triangle?
the circumcenter.
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.
What are the characteristics of orthocenter?
The orthocenter of a triangle is the point where the altitudes of the triangle intersect. It may lie inside, outside, or on the triangle depending on the type of triangle. In an acute triangle, the orthocenter lies inside the triangle; in a right triangle, it is at the vertex opposite the right angle; and in an obtuse triangle, it is outside the triangle.
Name all types of triangles for which the point of concurrency is inside the triangle?
The answer depends on what point of concurrency you are referring to. There are four segments you could be talking about in triangles. They intersect in different places in different triangles. Medians--segments from a vertex to the midpoint of the opposite side. In acute, right and obtuse triangles, the point of concurrency of the medians (centroid) is inside the triangle. Altitudes--perpendicular segments from a vertex to a line containing the opposite side. In an acute triangle, the point of concurrency of the altitudes (orthocenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Perpendicular bisectors of sides--segments perpendicular to each side of the triangle that bisect each side. In an acute triangle, the point of concurrency of the perpendicular bisectors (circumcenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Angle bisectors--segments from a vertex to the opposite side that bisect the angles at the vertices. In acute, right and obtuse triangles, the point of concurrency of the angle bisectors (incenter) is inside the triangle.
Where is the orthocenter of a right triangle?
At the vertex of the right angle.
What is a triangle with a perpindicular segment from the vertex to the line containing the side opposite the vertex?
A right angle triangle perhaps
What is a right triangle equal to?
It is a triangle with one right angled vertex.
Where is the orthocenter of a right triangle located?
Well, honey, the orthocenter of a right triangle is where all three altitudes intersect. In the case of a right triangle, the orthocenter coincides with one of the vertices, specifically the right angle vertex. So, grab your ruler and draw those altitudes to find that sassy orthocenter right at the corner of the right angle.
What kind of triangle will you make if you draw a line from one vertex to the opposite vertex of a rectangle?
It will be right angle triangle
What is an orthocentre and where it is located for an obtuse right and a right angled triangles?
On an obtuse triangle the orthocenter is located on the outside of the triangle and the orthocenter of the right triangle is located at the vertex of the triangle ...
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.
Does the altitude of a triangle always intersect inside the triangle?
No. Not if the triangle is right angled (the intersection is AT the right vertex) or obtuse angled (intersection outside).
