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inside the triangle ;)

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13y ago

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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.


How do you find the circumcenter of a obtuse triangle step by step?

To find the circumcenter of an obtuse triangle, follow these steps: Identify the Triangle: Label the vertices of the triangle as A, B, and C. Construct Perpendicular Bisectors: For at least two sides of the triangle (e.g., AB and AC), find the midpoints and draw the perpendicular bisectors of these sides. Locate the Circumcenter: The point where the two perpendicular bisectors intersect is the circumcenter. In an obtuse triangle, the circumcenter will lie outside the triangle. Finally, you can verify that this point is equidistant from all three vertices of the triangle.


What is the name of the point at which all of the triangle's perpendicular bisectors intersect?

Circumcenter, this is the center-point of a circle circumscribed around the triangle. If the triangle is obtuse, then this point is outside the triangle and if the triangle is a right triangle, then the point is the midpoint of the hypotenuse.


An obtuse triangle can have two obtuse angles?

No an abtuse triangle can not have two obtuse angles


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 triangle has 2 obtuse angles?

No triangle has 2 obtuse angles


What are the angles in an obtuse triangle?

An obtuse triangle has 1 obtuse angle and 2 acute angles


Where is the obtuse triangle can be intersect?

Anywhere.


Is a triangle three obtuse angles?

No not never can a triangle have 3 obtuse angles but it can have 3 acute angles


What are the properties of the in center of a triangle?

The incenter of a triangle is the point where the angle bisectors of the triangle intersect and is equidistant from all three sides of the triangle. It serves as the center of the inscribed circle (incircle) that touches each side of the triangle. The incenter is always located inside the triangle, regardless of the triangle's type (acute, obtuse, or right). Additionally, the incenter can be found using the formula that involves the triangle's side lengths and angles.


In which triangle do the three altitudes intersect outside the triangle?

Obtuse Triangle


In which triangle do the three altitudes intersect outside of the triangle?

Obtuse Triangle