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Can an angle bisector of a triangle always intersect inside the triangle?
The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)
Do the three altitudes of an obtuse triangle always intersect inside the triangle?
No.
What point of concurrency in a triangle is always located inside the triangle?
The point of concurrency in a triangle that is always located inside the triangle is the centroid. The centroid is the point where the three medians of the triangle intersect, and it represents the triangle's center of mass. Regardless of the type of triangle—acute, obtuse, or right—the centroid will always be found within the triangle's boundaries.
Is incenter always inside the triangle?
Yes
Are the medians always inside a right triangle?
no
Is the orthocenter of a triangle always inside the triangle?
A Triangle's OrthocenterNo, it can be outside the triangle.
Can an angle bisector of a triangle always intersect inside the triangle?
The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)
Do the medians of a triangle always intersect inside the triangle?
Yes.
Do the three altitudes of an obtuse triangle always intersect inside the triangle?
No.
Will the incenter of a triangle always be located inside of the triangle?
Yes, it will.
What point of concurrency in a triangle is always located inside the triangle?
The point of concurrency in a triangle that is always located inside the triangle is the centroid. The centroid is the point where the three medians of the triangle intersect, and it represents the triangle's center of mass. Regardless of the type of triangle—acute, obtuse, or right—the centroid will always be found within the triangle's boundaries.
Is incenter always inside the triangle?
Yes
Are the medians always inside a right triangle?
no
How many total degrees are inside of a triangle?
The 3 inside angles of a triangle add up to 180 degrees
Is a triangle always 180 degrees?
The sum of the three interior angles inside a triangle is always 180 degrees.
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.
Will medians sometimes intersect inside a acute triangle?
Always.
